Ten years ago. A was half of B in age. If the ratio of their present age is 3 : 4 What will be the total of their present ages?

A 20 years

B 30 years

C 45 years

D None of these

Solution

Correct Answer: Option D

let, Ten years ago, A was x years old
B was 2x years old

ATQ,
(x + 10)/(2x + 10) = 3/4
⇒ 4x + 40 = 6x = 30
⇒ 6x - 4x = 40 - 30
⇒ 2x = 10
∴ x = 5

total present age = x + 2x + 20
= 3x + 20
= 3 × 5 + 20
= 35 years

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