Question

What is the present age of Alex if he is one- fourth the age of a his father and if the age of the father is doubled, it is 20 years less than 100 years?

Answer 1

Step-by-step explanation:

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Answer 2

Given:

Alex is one-fourth the age of his father and if the age of the father is doubled, it is 20 years less than 100 years.

To find:

The present age of Alex.

Solution:

Let the present age of Alex's father be x years.

So, according to the question, we have,

if the age of the father is doubled, it is 20 years less than 100 years.

So, we have

$2x = 100 - 20$

On solving the above, we get

$2x = 80$

$x = 40 \: years$

Now,

Alex's age is one-fourth the age of his father.

So,

$Alex's \:age = \frac{1}{4} \times 40$

$Alex's \:age = 10 \: years$

Hence, the present age of Alex is 10 years.