Question

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

Answer 1

Answer:

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

Thus current age of Rahul = 5*4 = 20

Haroon = 7*4 = 28

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.

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To find:-

• Their present ages.

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Solution:-

Let,

• the age of Rahul be 5x.
• the age of Haroon be 7x.

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After four years,

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

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According to the question,

→ (5x + 4) + (7x + 4) = 56

→ 5x + 7x + 4 + 4 = 56

→ 12x + 8 = 56

→ 12x = 56 - 8

→ 12x = 48

→ x = 48/12

→ x = 4

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Therefore,

→ Rahul's present age = 5x = 5 × 4 = 20 years

→ Haroon's present age = 7x = 7 × 4 = 28 years