# What is The Present Age of A ? If

Answered

Eighteen years ago, the ratio of A’s age to B’s age was 8 : 13. Their present ratios are 5 : 7. What is the present age of A ?

- 50 years
- 60 years
- 40 years
- 70 years

Best answer

**Answer: (1) 50 years**

**Explanation:-**

The present ratio of A’s age and B’s age = 5 : 7

Let the present age of A = 5 X years & the present age of B = 7 X years

Eighteen years ago, the ratio of A’s age to B’s age was 8 : 13.

Then, (5 X – 18) / (7 X – 18) = 8/13

13 x 5 X – 13 x 18 = 8 x 7 X – 18 x 8

65 X – 234 = 56 X – 144

65 X – 56 X = 234 – 144

9 X = 90

X = 90/ 9

X = 10

Then, the present age of A is 5 X = 5 x 10

= 50 years

Hence, the answer is (1) 50 years.