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 1

Explanation:

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let the ages of Rahul and Haroon be 'x' and 'y' respectively..

using condition,

======> x/y = 5/7

======> 7x = 5y.....................(1)

after 4 years,

====> rahul's age = x+4

====> haroon's age = y+4

using condition,

(x+4) + (y+4) = 56

====> x+y = 48................(2)

solving condition (1) and (2),

x= 5y/7

====> 5y/7 + y = 48

====> 12y = 336

====> y = 28

thus,

x = 20

so, the present ages are

Rahul = 20 years old

Haroon = 28 years old

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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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