Question

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? answer step by step​

Answer 1

Let the ratios be 5x and 7x respectively.

∵Four years later their sum of the ages = 56

∴(5x+4)+(7x+4)=56

⇒5x+4+7x+4=56

⇒12x+8=56

⇒12x=56-8

⇒12x=48

⇒x=48/12

⇒x=4

ACCORDING TO THE QUESTION,

The present age of Rahul→ 5x=5*4=20

The present age of Haroon→ 7x=7*4=28

ANS> The present ages of Rahul and Haroon are 20 and 28 respectively.

Answer 2

Given:

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

To Find:

• Present ages

Solution:

• Let present age of Rahul be 5x
• Present age of Haroon be 7x

4 years later,

• The age of Rahul = (5x + 4)
• The age of Haroon = (7x + 5)

According to Question:

➞ (5x + 4)(7x + 4) = 56

➞ 5x + 7x + 4 + 4 = 56

➞ 12x + 8 = 56

➞ 12x = 56 - 8

➞ 12x = 48

➞ x = 48/12

➞ x = 4

Present ages,

• Present age of Rahul = 5x = 20 years
• Present age of Haroon = 7x = 28 years

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