Question

Rajesh is two years older than Riyansh, who is twice as old as Kailash. If the total of the ages of Rajesh, Riyansh and Kailash are 37, then how old is Riyansh?

• A. 12
• B. 11
• C. 14
• D. 20
• E. 16

Hint:

Always double-check whose age the question is asking for (Riyansh vs. Rajesh vs. Kailash) before picking your final option.

Answer 1

The Correct Option is C

Concept: Formulate linear equations by representing all ages in terms of a single variable (usually the youngest person).
Step 1: Define variables. Let Kailash's age be $x$. Then Riyansh = $2x$ (twice as old as Kailash). Then Rajesh = $2x + 2$ (two years older than Riyansh).

Step 2: Set up the sum. \[ (2x + 2) + 2x + x = 37 \] \[ 5x + 2 = 37 \Rightarrow 5x = 35 \Rightarrow x = 7 \]

Step 3: Calculate Riyansh's age. Riyansh = $2x = 2(7) = 14$ years.