A toy T jumps forward or backward. In each forward jump, it moves 5' forward whereas in each backwar — CSAT 2026 Answer & Explanation

2026

A toy T jumps forward or backward. In each forward jump, it moves 5' forward whereas in each backward jump, it moves 2' backward. If in 31 jumps, T moves exactly 15' forward, then what is the difference of the number of forward and backward jumps?

Explanation

Let $x$ be the number of forward jumps and $y$ be the number of backward jumps. We have two equations: $x + y = 31$ and $5x - 2y = 15$ . Solving these gives $x = 20$ and $y = 11$ , leading to a difference of $x - y = 9$ .

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