# Rajesh is 10 years younger to Baskar, 10 years back, Rajesh's age was two thirds that of Baskar's. How old is Baskar now?

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Rajesh is 10 years younger to Baskar, 10 years back, Rajesh's age was two thirds that of Baskar's. How old is Baskar now?
1. 30
2. 40
3. 20
4. 16

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Correct Answer - Option 2 : 40

Given

Rajesh is 10 years younger to Baskar, 10 years back, Rajesh's age was two thirds that of Baskar's.

Concept used

Ratio and proportion

Calculation

Let the present age of Baskar be x years.

Rajesh's present age = x - 10

10 years back, Rajesh's age was two thirds that of Baskar's.

⇒ $x - 20 = \frac{2}{3}\left( {x - 10} \right)$

⇒ 3x - 60 = 2x - 20

⇒ x = 40

Baskar is of 40 years now.