Aptitude - Problems on Ages - Discussion

Discussion Forum : Problems on Ages - General Questions (Q.No. 7)
7.
Six years ago, the ratio of the ages of Kunal and Sagar was 6 : 5. Four years hence, the ratio of their ages will be 11 : 10. What is Sagar's age at present?
16 years
18 years
20 years
Cannot be determined
None of these
Answer: Option
Explanation:

Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.

Then, (6x + 6) + 4 = 11
(5x + 6) + 4 10

10(6x + 10) = 11(5x + 10)

5x = 10

x = 2.

Sagar's present age = (5x + 6) = 16 years.

Discussion:
128 comments Page 6 of 13.

Anil k said:   9 years ago
Here Kunal : Sagar
6x + 6 + 4: 5x + 6 + 4.
11 : 10.

Cross multiplication
60x + 100 = 55x + 110.
5x = 10.
x = 2 so Sagar present age is 5x + 6.
Here x = 2. So 5 * 2 +6 = 16.

REVAT said:   9 years ago
After getting x=2.

In Q, we have to calculate the present age of Sagar.

Why it's 5x+6?

Is it 6 years ago na?

It must be.

5x = 5 (2) =10.

I'm confused someone help me.

Kanakareddy said:   1 decade ago
Age n years ago means = x-n.
Let the ages of Kunal and Sagar 6 years ago be 6x and 5x years respectively.

Then, (6x+6)+4 = 11/(5x+6)+4 = 10.
Why you add the 6x+6, 5x+6.

Imran Ali said:   1 decade ago
@Fakrudin.

His son's age will be 15 year, please comment is am right or wrong. Thanks. If am wrong then please explain if I am right then I will be explain. Thanks.

Zard said:   8 years ago
Anwser is E.

Because the given ratio not verified.
let present age 16 years after five years 21 (16+5).
21 not multiple of 10.
and also 16 not multiple of 5.

Faruk said:   2 decades ago
It is clearly said that 6 years ago their age was 6:5, so and hence their present age will be (6x+6)/(5x+6) and hence after 4 years you have to add another 4.

Jasika said:   1 decade ago
(x-6)/(y-6)=6/5......as 6 years ago ratio is 6/5
(x+4)/(y+4)=11/10...as after 4 years ratio is 11/10
by solving by solving y=4 years...den why it is wrong?

Sangay Wangchuk said:   5 years ago
@Swanali.

6 is added because it clearly says that six years ago their age was 6:5. And we are asked to find present ages so we have to add 6 on their age.
(2)

Ronak said:   1 decade ago
Yes same here. They have clearly given in the important formula section that when statement contains the word "ago", have to subtract the number of years.

Jaspreet said:   1 decade ago
Lets sons age x and father y.

Then,

x+y = 60.
x-6 = 5(60-x) (put y=60-x).

6x = 306.

x = 306/6.
x = 51.
Son will be 60-51 = 9.

9+6 = 15 years hence.


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