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The ratio of present age of Raghu and Vibhu is 3 : 4 and the ratio of present age of Raghu and Sidhu is 7 : 6. If age difference of Raghu and Sidhu is 9 years, then what will be the sum of the ages of all three?

The ratio of present age of Raghu and Vibhu is 3 : 4 and the ratio of present age of Raghu and Sidhu is 7 : 6. If age difference of Raghu and Sidhu is 9 years, then what will be the sum of the ages of all three? Correct Answer 201 years 

Given

The ratio of present age of Raghu and Vibhu = 3 : 4

The ratio of present age of Raghu and Sidhu = 7 : 6

Age difference of Raghu and Sidhu = 9 years

Formula used

Ratio formula, a : b = a/b

Calculation

Raghu : Vibhu = 3 : 4

Raghu : Sidhu = 7 : 6

Then Raghu : Vibhu : Sidhu = 21 : 28 : 18

Let the age of Raghu, Vibhu and Sidhu respectively = 21x, 28x, and18x

According to question

⇒ 21x – 18x = 9

⇒ 3x = 9

⇒ x = 3 years

Then the sum of the ages of Raghu, Vibhu and Sidhu

⇒ (21 × 3) + (28 × 3) + (18 × 3)

⇒ 63 + 84 + 54

⇒ 201 years

∴ The sum of ages of all three is 201 years.

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