Question

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

Answer 1

Step-by-step explanation:

let the common multiple be 'x'

therefore, rahul.s present age is 5x _ _ _ _ ( 1 )

and that's of haroon is '7x' _ _ _ _ ( 2 )

from given condition,

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

12 x + 8 = 56

12 x = 56 - 8

12 x = 48

x = 48 / 12

x = 4

rahul's present age = 5 x

= 5 ( 4 )

= 20 years

haroon's present age= 7 x

= 7 ( 4 )

= 28 years

the present ages of rahul and haroon are 20 years and 28 years respectively,

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

Thus current age of Rahul = 5*4 = 20Haroon = 7*4 = 28

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Hope it helps you!

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