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? Show the solution .
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Answer 1

Answer:

let Rahul age = 5x

let Haroon age = 7x

4 years later

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

12x + 8 = 56

12x = 48

x = 48/12

x = 4

rahul age = 20 yrs

harron age = 28 yrs

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Answer 2

Answer:

• Age of Rahul = 20 years.
• Age of Haroon = 28 years.

Step-by-step explanation:

Given:

• Ages of Rahul and Haroon are in ratio of 5:7.
• Four year later the sum of their ages will be 56.

To Find:

• Present ages of Rahul and Haroon.

Let, Age of Rahul be '5x'.

And, Age of Haroon be '7x'.

Now, According to question.

>> Four years later:

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

=> 5x + 4 + 7x + 4 = 56

=> 12x + 8 = 56

=> 12x = 56 - 8

=> 12x = 48

=> x = 48/12

=> x = 4

Hence,

• Age of Rahul = 5x = 20 years
• Age of Haroon = 7x = 28 years.

Verification:

Ages of Rahul and Haroon are in ratio 5:7

=> 20/28

=> 5/7

=> 5:7

And, after 4 years sum of their ages will be 56.

=> (20 + 4) + (28 + 4)

=> 24 + 32

=> 56

Hence Proved!!