Aptitude - Problems on Ages - Discussion
Discussion Forum : Problems on Ages - General Questions (Q.No. 5)
5.
Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand's present age in years?
Answer: Option
Explanation:
Let the present ages of Sameer and Anand be 5x years and 4x years respectively.
| Then, | 5x + 3 | = | 11 |
| 4x + 3 | 9 |
9(5x + 3) = 11(4x + 3)
45x + 27 = 44x + 33
45x - 44x = 33 - 27
x = 6.
Anand's present age = 4x = 24 years.
Discussion:
77 comments Page 2 of 8.
Aman Verma said:
9 years ago
First, write the present ages of Sameer and Anand as 5 and 4 respectively.
Now after three years their ages are 11 and 9 respectively.
Now to find the age of Anand. You have to multiply the present age of Anand.
i.e. (4 * 3(11 - 9)) / (11 * 4 - 9 * 5).
You will get the requires age of Anand, where 3 is times of the year, 11 and 9 are the ages of Sameer and Anand after 3 years.
Now after three years their ages are 11 and 9 respectively.
Now to find the age of Anand. You have to multiply the present age of Anand.
i.e. (4 * 3(11 - 9)) / (11 * 4 - 9 * 5).
You will get the requires age of Anand, where 3 is times of the year, 11 and 9 are the ages of Sameer and Anand after 3 years.
Siva said:
1 decade ago
@Agila.
Given Ratio 5:4----->(1).
Difference between the ratio is 1.
After three years 11:9---->(2).
Difference between the ratio is 2.
Both the ratio difference are not same.
So multiply (1) by 2, we get 10:8.
||ly multiply (2) by 1, we get 11:9. now the difference are same.
Anand's present age=8*3=24 year.
How here 8 will be please tell me?
Given Ratio 5:4----->(1).
Difference between the ratio is 1.
After three years 11:9---->(2).
Difference between the ratio is 2.
Both the ratio difference are not same.
So multiply (1) by 2, we get 10:8.
||ly multiply (2) by 1, we get 11:9. now the difference are same.
Anand's present age=8*3=24 year.
How here 8 will be please tell me?
Vandhanasuberwal said:
1 decade ago
Ratio of the age of two persons is given. Let their age be in the ratio 5x &4x. it becomes 5x/4x .then in the question it is given,3years hence{means after 3years} then add 3in 5x/4x then we get 5x+3/4x+3.but in the question it is given that after 3years the ratio becomes 11\9 .SO IT becomes as 5x+3/4x+3=11/9. Now we can solve the question...
Kplakshmi said:
7 years ago
@ Sonu.
The ratio means short answer of fraction eg: 20/25 short answer is 4/5 so we can write in the form of 4x/5x.
~ the fraction of numerator and denominators are divided by the same number that's called x
P/Q=3x/4x(presentratio) Q's present age is 20.
4x =20 ; => x= 5.
after 5 years, (3x+5/4x+5) = 20/25.
Then the ratio is 4/5.
The ratio means short answer of fraction eg: 20/25 short answer is 4/5 so we can write in the form of 4x/5x.
~ the fraction of numerator and denominators are divided by the same number that's called x
P/Q=3x/4x(presentratio) Q's present age is 20.
4x =20 ; => x= 5.
after 5 years, (3x+5/4x+5) = 20/25.
Then the ratio is 4/5.
Alekhya said:
5 years ago
We can also use the formula qt(r-s)/ps-qr where p,q,r,s are given ratios 5:4, 11:9 respectively and t= years given.
4(3)(11-9)/5(9)-4(11) = 12(2)/45 - 44 = 24.
Formula: The ratio of present ages of A and B is p:q and after t years, the ratio is r:s, then
A's present age = pt(r-s)/ps-qr.
B's present age = qt(r-s)/ps-qr.
4(3)(11-9)/5(9)-4(11) = 12(2)/45 - 44 = 24.
Formula: The ratio of present ages of A and B is p:q and after t years, the ratio is r:s, then
A's present age = pt(r-s)/ps-qr.
B's present age = qt(r-s)/ps-qr.
(5)
Vinothini said:
1 decade ago
I hope my solution will help you...
Now Sameer age be x, Anand be y.
Ratio is x/y = 5/4 fine.... then 3 years after right, so x+3/y+3 = 11/9,
Then, will produce the eqn...4x=5y--------->1
9x+27=11y+33---------->2
We obtain that is x=5y/4, put into eqn 2,
9*5y/4-11y=33-27
45y-44y=6*4
y = 24 so simple friends.
Now Sameer age be x, Anand be y.
Ratio is x/y = 5/4 fine.... then 3 years after right, so x+3/y+3 = 11/9,
Then, will produce the eqn...4x=5y--------->1
9x+27=11y+33---------->2
We obtain that is x=5y/4, put into eqn 2,
9*5y/4-11y=33-27
45y-44y=6*4
y = 24 so simple friends.
Agila said:
1 decade ago
Given Ratio 5:4----->(1)
Difference between the ratio is 1
After three years 11:9---->(2)
Difference between the ratio is 2
Both the ratio difference are not same.
So muliply (1) by 2, we get 10:8
||ly multiply (2) by 1, we get 11:9. now the difference are same
Anand's present age=8*3=24 years
Difference between the ratio is 1
After three years 11:9---->(2)
Difference between the ratio is 2
Both the ratio difference are not same.
So muliply (1) by 2, we get 10:8
||ly multiply (2) by 1, we get 11:9. now the difference are same
Anand's present age=8*3=24 years
JAISON said:
8 years ago
SHORTCUT METHOD.
Since they are asking ANAND's present age the ratio for Anands present age is 4.
So check the options which go for 4 table.
24 goes for 4 so 24 is the answer.
Suppose the ask Anand's age 3 years later the ratio is 9 so 3 years later his age will be 27 since 27 is divisible by 9.
Since they are asking ANAND's present age the ratio for Anands present age is 4.
So check the options which go for 4 table.
24 goes for 4 so 24 is the answer.
Suppose the ask Anand's age 3 years later the ratio is 9 so 3 years later his age will be 27 since 27 is divisible by 9.
Pavan Nayak said:
1 decade ago
I think 27 is answer. Because, When you take present ratio as 11:9, Sameer age will be 33 and Anand age will be 27 (multiplied by 3). When you go back 3 years.
Their age will be 30 and 24 (divided by 6). So, it will be of ratio 5:4. which is correct ratio as given data. Explain if I am wrong.
Their age will be 30 and 24 (divided by 6). So, it will be of ratio 5:4. which is correct ratio as given data. Explain if I am wrong.
Sriteja said:
1 decade ago
Hai @Iti the problem can be solved as,
a+b+c=80 then after 3 years (a+3)+(b+3)+(c+3)=80+9=89
The given problem can be solved in other method as,
Given x/y=5/4;
After 3 years (x+3)/(y+3)=11/9;
Solving 9x-11y-6=0;
4x-5y=0;
We get x=30 y=24 Hence answer is 24 years.
a+b+c=80 then after 3 years (a+3)+(b+3)+(c+3)=80+9=89
The given problem can be solved in other method as,
Given x/y=5/4;
After 3 years (x+3)/(y+3)=11/9;
Solving 9x-11y-6=0;
4x-5y=0;
We get x=30 y=24 Hence answer is 24 years.
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