Question

The age of father and his son is 100 yr<br />now. 5 yr ago their ages were in the ratio<br />of 2:1. The ratio of the ages of father<br />and son after 10 yr will be:<br />(A) 4:3 (B) 5:3<br />(C) 3:5 (D) 10:7​

Answer 1

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Answer 2

Answer: (B) 5:3

Step-by-step explanation:

Let father's age be x and son's age be y.

x+y=100 → (a)

5 years ago

x-5/y-5 = 2 i.e equal to x-2y = -5 → (b)

On solving (a) and (b) we will get x =65 and y = 35.

Ratio after 10 years ago

x+10/y+10 = 65+10/35+10 = 75/45 = 5/3