Question

A man's age is 150% of what it was 10 years ago, but 75% of what it will be after 10 years. What is his present age? a) 25 years b) 30 years c) 35 years d) 40 years

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Answer 1

Answer:

option (b) 30 years

Step-by-step explanation:

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Answer 2

Given,

A man's age is 150% of what it was 10 years ago, but 75% of what it will be after 10 years.

To find,

The present age of the man.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that the present age of the man is x years.

So, the age of the person before 10 years is equal to (x-10) years.

Now, according to the question;

The man's age is 150% of what it was 10 years ago

=> x years = 150% of (x-10) years

=> x = 150/100 × (x-10)

=> x = 3/2 × (x-10)

=> 3(x-10) = 2x

=> 3x - 30 = 2x

=> x = 30 years

=> the present age of the man = 30 years

Hence, the present age of the man is equal to 30 years. (Option-B)