Question

A tells B, “when I was half of your present age you were 1/4th of my present age.” If A’s present age is 36 what is the B’s present age?
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Answer 1

Answer:

The present age of B is 30 years.

Step-by-step explanation:

Given that,

A tells B, “when I was half of your present age you were 1/4th of my present age.” and present age of A is 36 years.

Let the present age of B be b years.Therefore,

The age difference between A and B is $36-b$ Also given,

When A was $\frac{b}{2}$ years B was $\frac{36}{4} =9 \:years$

The age difference between A and B is $\frac{b}{2}-9$

We know that,

The difference between ages of A and B must remain constant.Therefore,

$36-b=\frac{b}{2}-9= > 45=\frac{3b}{2}= > b=30 \:yrs$

Therefore,

The present age of B is 30 years.

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