Aptitude - Average - Discussion
Discussion Forum : Average - General Questions (Q.No. 8)
8.
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is:
Answer: Option
Explanation:
Sum of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90 years.
Sum of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.
Husband's present age = (90 - 50) years = 40 years.
Discussion:
101 comments Page 2 of 11.
PHILIP said:
1 decade ago
Ramya. Good way to solve, simple to understand.
Karthika said:
1 decade ago
I solved in this method.. Is this right?
Let x,y,z be the age of husband,wife and child respectively..
for the first condition.. we can write 27=((x+y+z)/3)-3
27=(x+y+z-9)/3
81=x+y+z-9
90=x+y+z....equation 1
for the second condition..we can write 20=((y+z)/2)-5
20=(y+z-10)/2
40=(y+z-10)
50=y+z........equation 2
equation1 - equation2 gives x+y+z-y-z=90-50
x=40
i.e husband's age is 40years..
Let x,y,z be the age of husband,wife and child respectively..
for the first condition.. we can write 27=((x+y+z)/3)-3
27=(x+y+z-9)/3
81=x+y+z-9
90=x+y+z....equation 1
for the second condition..we can write 20=((y+z)/2)-5
20=(y+z-10)/2
40=(y+z-10)
50=y+z........equation 2
equation1 - equation2 gives x+y+z-y-z=90-50
x=40
i.e husband's age is 40years..
Priya said:
1 decade ago
((h-3)+(w-3)+(c-3))/3=27
h+w+c=90.
how to 90 comes ? I don't understand.
h+w+c=90.
how to 90 comes ? I don't understand.
Balaram said:
1 decade ago
@priya:
Hi priya. Look into your equation, send 3 to right side which gives the equation, h,w,c are current ages of husband, wife and child respectively....
The average of their ages three years back is as follows.
((h-3)+(w-3)+(c-3))/3=81
==> h+w+c=81+9
==> h+w+c=90 ----(1)(this is the sum of ages of husband, wife and child at present)
And further it is given that, five years back, average of wife and child is 20 years.
i.e. ((w-5)+(c-5))/2=20
==> (w-5)+(c-5)=40
==> w+c=50----(2)
Now, on substituting equation (2) in (1)..
we will get h=90-50 = 40 years.
Hence, the current age of husband is 40 years.
Hope you would get it now.
Hi priya. Look into your equation, send 3 to right side which gives the equation, h,w,c are current ages of husband, wife and child respectively....
The average of their ages three years back is as follows.
((h-3)+(w-3)+(c-3))/3=81
==> h+w+c=81+9
==> h+w+c=90 ----(1)(this is the sum of ages of husband, wife and child at present)
And further it is given that, five years back, average of wife and child is 20 years.
i.e. ((w-5)+(c-5))/2=20
==> (w-5)+(c-5)=40
==> w+c=50----(2)
Now, on substituting equation (2) in (1)..
we will get h=90-50 = 40 years.
Hence, the current age of husband is 40 years.
Hope you would get it now.
Hema said:
1 decade ago
Thanks ramya.
Isha said:
1 decade ago
Its so easy ramya thanks.
Ks Venkatesh said:
1 decade ago
Its simple:
Avg of 6 family members before 10 years is (Hus-10)+(wife-10)+(fath-10)+(othrs-30)/6 at 10 years ago.. By simpllifing abv we get (hus+wife+fath+othrs-60)/6
Present age average(Here babe replaces father): (Hus+wif+Babe+others)/6
As per given condition equate both the abv equ: U'll get Father's age=60 years..!! QUITE EASY NA ??
Avg of 6 family members before 10 years is (Hus-10)+(wife-10)+(fath-10)+(othrs-30)/6 at 10 years ago.. By simpllifing abv we get (hus+wife+fath+othrs-60)/6
Present age average(Here babe replaces father): (Hus+wif+Babe+others)/6
As per given condition equate both the abv equ: U'll get Father's age=60 years..!! QUITE EASY NA ??
Ravi said:
1 decade ago
Thanks ramya.
Swathi said:
1 decade ago
1. A bus is started from the bustand at 8am and after staying 30min at a destination return back to the busstand.The destination is 27 miles from the busstand.The speed of the bus is 18mph.In return journey the bus travels with 50% fast speed.At what time it is return to the bus stand.
a 11am b 1pm c 11pm d 10am
2. Person who decided to go to the weekend trip should not exceed 8hrs driving a day.Average speed of forward is 40mph.Due to the traffic in sunday in return journey average speed is 30mph.How far he can select a picnic spot?
a 120 b 240 c 360 d 40
3. Find the value of @@+25-++@16,where @ denotes square and + denotes "square root"?
4. In a two dimensional array,X(9,7) with each element occupy 4 bytes of memory, with the address of the first element x(1,1) us 3000.find the address of x(8,5)
Can anyone help me in finding the solution for this problem as soon as possible?
a 11am b 1pm c 11pm d 10am
2. Person who decided to go to the weekend trip should not exceed 8hrs driving a day.Average speed of forward is 40mph.Due to the traffic in sunday in return journey average speed is 30mph.How far he can select a picnic spot?
a 120 b 240 c 360 d 40
3. Find the value of @@+25-++@16,where @ denotes square and + denotes "square root"?
4. In a two dimensional array,X(9,7) with each element occupy 4 bytes of memory, with the address of the first element x(1,1) us 3000.find the address of x(8,5)
Can anyone help me in finding the solution for this problem as soon as possible?
Swathi said:
1 decade ago
10. In a two-dimensional array, X (9, 7), with each element occupying 4 bytes of memory, with address of the first element X (1, 1) is 3000; find the address of X (8, 5).
11. One boy can eat 100 chocolates in half a minute, and another can eat half as many in twice the length of time. How many chocolates can both boys eat in 15 seconds?
12. Potatoes are made up of 99% water and 1% "potato matter." Jack bought 100 pounds of potatoes and left them outside in the sun for a while. When he returned, he discovered that the potatoes had dehydrated and were now only made up of 98% water. How much did the potatoes now weight?
13. You own a pet store. If you put in one canary per cage, you have one canary too many. If you put in two canaries per cage, you have one cage too many. How many canaries and cages do you have?
14. Find the value of @@+25-++@16, where @ denotes "Square" and + denotes "square root".
15. A power unit is there by the bank of the river of 750 meters width. A cable is made from power unit to power plant opposite to that of the river and 1500mts away from the power unit. The cost of the cable Rs.12/- per meter. Find the total of laying the cable.
16. In Madras, temperature at noon varies according to -t^2/2 + 8t + 3, where t is elapsed time.Find how much temperature more or less in 4pm to 9pm.
11. One boy can eat 100 chocolates in half a minute, and another can eat half as many in twice the length of time. How many chocolates can both boys eat in 15 seconds?
12. Potatoes are made up of 99% water and 1% "potato matter." Jack bought 100 pounds of potatoes and left them outside in the sun for a while. When he returned, he discovered that the potatoes had dehydrated and were now only made up of 98% water. How much did the potatoes now weight?
13. You own a pet store. If you put in one canary per cage, you have one canary too many. If you put in two canaries per cage, you have one cage too many. How many canaries and cages do you have?
14. Find the value of @@+25-++@16, where @ denotes "Square" and + denotes "square root".
15. A power unit is there by the bank of the river of 750 meters width. A cable is made from power unit to power plant opposite to that of the river and 1500mts away from the power unit. The cost of the cable Rs.12/- per meter. Find the total of laying the cable.
16. In Madras, temperature at noon varies according to -t^2/2 + 8t + 3, where t is elapsed time.Find how much temperature more or less in 4pm to 9pm.
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