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 1 of 8.
Bharathi said:
2 years ago
5:4
11:9.
The difference between 5 and 11 is 6.
The difference between 4 and 9 is 5.The differences are not same.
So We have to multiply the difference between 5:4(5-4=1) with 11:9 as 1*(11:9) and the difference between 11:9(11-9=2) with 5:4 as 2(5:4).
Finally, we get as;
10:8
11:9 here the difference is 1.
1p= 3years then,
8p = 24 years is the final answer.
So, Anand's age is 24 years.
11:9.
The difference between 5 and 11 is 6.
The difference between 4 and 9 is 5.The differences are not same.
So We have to multiply the difference between 5:4(5-4=1) with 11:9 as 1*(11:9) and the difference between 11:9(11-9=2) with 5:4 as 2(5:4).
Finally, we get as;
10:8
11:9 here the difference is 1.
1p= 3years then,
8p = 24 years is the final answer.
So, Anand's age is 24 years.
(23)
Pankaj said:
4 years ago
best tricks for this type of question;
5 :4.
11:9.
4(years Anand age question ask Anand age then multiply)*3(years hence)*2(11-9=2)/(5*9 cross multiply) - (11*4 cross multiply) = 24.
So, the answer = 24.
5 :4.
11:9.
4(years Anand age question ask Anand age then multiply)*3(years hence)*2(11-9=2)/(5*9 cross multiply) - (11*4 cross multiply) = 24.
So, the answer = 24.
(10)
Deepanshu said:
7 years ago
The ratio of their present age is 5:4.
After 3 years, the ratio become 11:9.
Now, the difference is not equal which is 6:5 this ratio should be equal whenever to ask such a question. When equal their ratio new ratio is;
10:8
And 11:9.
Then; 1=3.
And asked is 8*3=24.
After 3 years, the ratio become 11:9.
Now, the difference is not equal which is 6:5 this ratio should be equal whenever to ask such a question. When equal their ratio new ratio is;
10:8
And 11:9.
Then; 1=3.
And asked is 8*3=24.
(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)
Shaik hashma said:
6 years ago
Here, the present ratio is 5: 4, 5x:4x then after 3years means 5x+3/4x+3equalto 11/9 if we cross multiply this we got X value is 6 then substitute in 4x then 4*6 then 24.
(3)
Lakshmi said:
1 year ago
Present ages:
Sameer = x.
Anand = y.
x/y = 5/4 -------->eq(1)
After 3 yrs:
x + 3/y + 3 = 11/9 -----------> eq(2)
Solving equations 1 and 2 we get,
9x - 11y = 6,
4x - 5y = 0,
x = 30 and y = 24.
Sameer = x.
Anand = y.
x/y = 5/4 -------->eq(1)
After 3 yrs:
x + 3/y + 3 = 11/9 -----------> eq(2)
Solving equations 1 and 2 we get,
9x - 11y = 6,
4x - 5y = 0,
x = 30 and y = 24.
(3)
Melvin n. Kwaibiah said:
3 years ago
Very helpful. Thanks, everyone for explaining the answer.
(3)
Vamsi said:
6 months ago
@All.
Here's my solution:.
Here, We need Anand's age.
So first we check the multiple of 4 we get (24, 40) by using elimination.
After 3 years, the new ratio is 11:9 the options become (24+3, 40+3) = (27, 43) the 9 multiple is 27.
So the answer is 27.
Here's my solution:.
Here, We need Anand's age.
So first we check the multiple of 4 we get (24, 40) by using elimination.
After 3 years, the new ratio is 11:9 the options become (24+3, 40+3) = (27, 43) the 9 multiple is 27.
So the answer is 27.
(2)
Harshitha.p said:
5 years ago
At last, they have multiplied with 4 that is 4x because they have considered the present age of Anand is 4x we have been asked to find present age of Anand that's why we have multiplied with 4 and we know x=6.
So, 4 * 6 = 24.
So, 4 * 6 = 24.
(2)
OSAMA SOHAIL said:
2 years ago
Let the present age of Sameer and Anand be x and y.
x : y = 5 : 4.
Therefore,
x/y = 5/4.
x = 5y/4 ----> (1).
After 3 years ratio becomes:
x+3 : y+3 = 11:9.
x+3/y+3 = 11/9.
By cross multiplying.
9 (x+3) = 11 (y+3).
9x + 27=11y+33.
9x - 11y = 5.
Put x = 5y/4 in above eq.
9 (5y/4) -11y =5.
45y-44y/4 = 5.
y = 5*4= 20.
put y in eq 1.
x = 5y/4 = 5 (20) /4 =25.
Balancing the condition 25/20 = 5/4 or 5 :4.
x : y = 5 : 4.
Therefore,
x/y = 5/4.
x = 5y/4 ----> (1).
After 3 years ratio becomes:
x+3 : y+3 = 11:9.
x+3/y+3 = 11/9.
By cross multiplying.
9 (x+3) = 11 (y+3).
9x + 27=11y+33.
9x - 11y = 5.
Put x = 5y/4 in above eq.
9 (5y/4) -11y =5.
45y-44y/4 = 5.
y = 5*4= 20.
put y in eq 1.
x = 5y/4 = 5 (20) /4 =25.
Balancing the condition 25/20 = 5/4 or 5 :4.
(2)
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