Question

The average age of Harsh, Wyatt and Charan together 3 years ago was 27 years and that of Wyatt and Charan 5 years ago was 20 years. What is the present age of the Harsh?

• A. 30
• B. 40
• C. 45
• D. 35
• E. 50

Answer 1

The correct option is B

40

Let the present age of the Harsh = h

Present age of the Wyatt = w

Present age of the Charan = c

3 years ago, average age of Harsh, Wyatt and Charan = 27

$\Rightarrow$Sum of age of Harsh, Wyatt and Charan before 3 years =3$\times$27=81

$\Rightarrow$ (h-3) + (w-3) + (c-3) = 81

$\Rightarrow$ h + w + c = 81+9 = 90 -------------------equation(1)

5 years ago, average age of Wyatt and Charan = 20

$\Rightarrow$ Sum of age of Wyatt and Charan before 5 years =2$\times$20=40

$\Rightarrow$ (w-5) + (c-5) = 40 => w + c = 40+10 = 50 -------------------equation(2) Substituting equation(2) in equation(1)

$\Rightarrow$ h + 50 = 90 => h = 90 - 50 = 40

$\Rightarrow$Present age of Harsh = 40 years