Question

The ages of Rahul and Harun 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

The ages of Rahul and Varun are in the ratio 5:7

Let us assume, the present age of Rahul is 5x and present age of Varun is 7x, where x is the multiplier

Four year later,

Age of Rahul = 5x + 4 and age of Varun = 7x + 4

Given:

5x + 4 + 7x + 4 = 56

12x + 8 = 56

12x = 48

x = 4

Therefore, the present age of Rahul = 5x = 5 * 4 = 20 years
and present age of Varun = 7x = 7 * 4 = 28 years

Answer 2

Answer:

Ages of Rahul and Harun are 20 and 28 years respectively.

Step-by-step explanation:

Given :

• Ages of Rahul and Harun are in the ratio 5 : 7.
• 4 years later the sum of their ages will be 56 years.

To find :

Their present ages.

Solution :

Let the ages of Rahul and Harun be 5x and 7x.

Then, after 4 years their ages are :

• 5x + 4
• 7x + 4

ATP :

⇒ 5x + 4 + 7x + 4 = 56

⇒ 12x + 8 = 56

⇒ 12x = 48

⇒ x = 4

Hence,

• Age of Rahul (5x) = 20 years.
• Age of Harun (7x) = 28 years.

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