The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

Solution:

The ages of Rahul and Haroon are in ratio 5:7

Thus, the present ages of Rahul and Haroon are 5x and 7x respectively.

Four years later, the sum of their ages will be 56 years.

Four years later,

Age of Rahul = 5x + 4

Age of Haroon = 7x + 4

Since, sum of their ages is 56,

⇒ 5x + 4 + 7x + 4 = 56

⇒ 12x + 8 = 56

⇒ 12x = 56 - 8

⇒ 12x = 48

⇒ x = 48/12

⇒ x = 4

Present age of Rahul = 5x = 5 × 4 = 20

Present age of Haroon = 7x = 7 × 4 = 28

Thus, the present age of Rahul and Haroon are 20 and 28 years respectively.

☛ Check: NCERT Solutions for Class 8 Maths Chapter 2

Video Solution:

The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.2 Question 9

Summary:

The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. Their present ages are 20 and 28 years respectively.

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