NIMCET 2026 — Reasoning PYQ

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Question

NIMCET 2026 — Reasoning PYQ

NIMCET | Reasoning | 2026

Five years ago, A was three times as old as B. Now, A is twice as old as B. What is A's current age (in years)?

Choose the correct answer:

Explanation

To solve this age-related problem from image_80937f.png, let us denote the current ages of A and B as $A$ and $B$ respectively.

1. Formulate the equations:

Based on the problem statement:

"Now, A is twice as old as B":
$A = 2 B$
"Five years ago, A was three times as old as B" (i.e., $(A - 5) = 3 (B - 5)$ ):
$A - 5 = 3 (B - 5)$

2. Solve the system of equations:

Substitute the first equation ( $A = 2 B$ ) into the second equation:

$(2 B) - 5 = 3 (B - 5)$

$2 B - 5 = 3 B - 15$

$15 - 5 = 3 B - 2 B$

$B = 10$

3. Find A's current age:

Now, substitute $B = 10$ back into the first equation ( $A = 2 B$ ):

$A = 2 \times 10 = 20$

Thus, A's current age is 20 years.

Correct Answer: Option 1