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?
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Answer 1

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 :

• Their present ages =?

Step-by-step explanation :

Let, the present age of Rahul's be, 5x.

Then, the present age of Haroon's be, 7x.

4 years later Rahul's age will be, 5x + 4.

4 years later Haroon's age will be, 7x + 4

It is Given that,

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

According to the question,

(5x + 4) + (7x + 4) = 56

5x + 4 + 7x + 4 = 56

5x + 7x + 4 + 4 = 56

12x + 8 = 56

12x = 56 - 8

12x = 48

x = 48/12

x = 4.

Therefore, We got the value of, x = 4.

Hence,

The present age of Rahul's, 5x = 5 × 4 = 20 years

Then, the present age of Haroon's, 7x = 7 × 4 = 28 years.

Answer 2

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

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Let the current age of Rahul and Haroon be 5x and 7x respectively

Four years later their ages become 5x + 4 and 7x + 4 respectively.

According to the question,

5x + 4 +7x + 4 = 56

or 12x + 8 = 56

Transposing 8 to the RHS we get,

12x = 48

Dividing both sides by 12 gives,

x = 48/12 = 4

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Thus current age of Rahul = 5*4 = 20

Haroon = 7*4 = 28

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