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?

Asked by Aaryan | 1 year ago |  173

##### Solution :-

Let common ratio between Rahul's age and Haroon's age be x.

Therefore, age of Rahul and Haroon will be 5xyears and 7xyears respectively. After 4 years, the age of Rahul and Haroon will be (5x + 4) years and (7x + 4) years respectively.

According to the given question, after 4 years, the sum of the ages of Rahul and Haroon is 56 years.

∴ (5x + 4 + 7x + 4) = 56 12x + 8 = 56

On transposing 8 to R.H.S, we obtain

12x= 56 - 8

12x= 48

On dividing both sides by 12, we obtain

$$\frac{12x}{12} = \frac{48}{12}$$

x = 4

Rahul's age = 5xyears = (5 × 4) years = 20 years

Haroon's age = 7xyears = (7 × 4) years = 28 years

Answered by Sakshi | 1 year ago

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