Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages

Solution:

Let's form a linear equation for the given problem statement.

Let Aman’s son’s age be x years.

Therefore, Aman’s age will be 3x years.

Ten years ago, their age was (x - 10) years and (3x - 10) years respectively.

According to the question,10 years ago,

Aman’s age = 5 × Aman’s son’s age 10 years ago

3x - 10 = 5(x - 10)

3x - 10 = 5x - 50

2x = 40

x = 20 and 3x = 60

Therefore, Aman and his son's age are 60 and 20 years respectively.

☛ Check: Class 8 Maths NCERT Solutions Chapter 2

Video Solution:

Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.4 Question 10

Summary:

Aman’s age is three times his son’s age. Ten years ago he was five times his son’s age. Aman and his son's present ages are 60 and 20 years respectively.

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