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Krish is 4 years older than Raj, who is 4 times as old as Prem. If the sum of the ages of Krish, Raj and Prem be 67, then find the age of Raj.
1. 24 years
2. 28 years 
3. 26 years
4. 30 years

1 Answer

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Best answer
Correct Answer - Option 2 : 28 years 

Given

Krish is 4 years older than Raj

Raj is 4 times as old as Prem.

Sum of the ages of Krish, Raj and Prem be 67

Formula Used

Concept of Linear Equations and Simplification.

Calculation

Let us assume the age of Raj be ‘x’ years

Then, age of Krish = (x + 4) years

And Prem’s age = (x/4) years

According to question,

x + x + 4 + x/4 = 67

⇒ (4x + 4x + 16 + x)/4 = 67

⇒ 9x + 16 = 268

⇒ 9x = 252

⇒ x = 28

The present age of Raj is 28 years.

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