A man is 24 years older than his son. In two years, his age will be twice the age of his son. Which one of the following is the present age of his son ?

examrobotsa's picture

Submitted by examrobotsa on

Q: 2 (CAPF/2010)
A man is 24 years older than his son. In two years, his age will be twice the age of his son.
Which one of the following is the present age of his son ?

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,22,14,6,4,4,22

keywords: 

{'age': [2, 1, 1, 2], 'present age': [0, 0, 3, 1], 'years': [1, 0, 0, 2]}

In this question, we are given that the man is 24 years older than his son. Let`s assume the son`s age is x, then the man`s age would be x + 24.

According to the question, in two years, the man`s age will be twice the age of his son. So, if we add 2 to both the son`s and the man`s current ages, we should have the equation:

(x + 24 + 2) = 2(x + 2)

Simplifying this equation gives us:

x + 26 = 2x + 4

Bringing the variables to one side gives us:

x - 2x = 4 - 26

Simplifying further, we get:

-x = -22

Multiplying both sides by -1, we get:

x = 22

Therefore, the present age of the son is 22 years.

Alert - correct answer should be 22 years.