Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What are their present ages?

Solution:

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

Let Shobo’s age be x years. Therefore, his mother’s age will be 6x years.

After 5 years, Shobo will be x + 5 years and his mother will be 6x + 5 years.

According to the question,

x + 5 = 6x/3

⇒ x + 5 = 2x

⇒ x = 5

x = 5 and 6x = 30

Thus, Shobo's age is 5 years and his mother's age is 30 years.

☛ Check: Class 8 Maths NCERT Solutions Chapter 2

Video Solution:

Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What are their present ages?

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.4 Question 5

Summary:

Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. Thus, Shobo's present age is 5 years and his mother's present age is 30 years.

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