Using the division algorithm, check whether 265 = 15 × 17 + 10.

Question

KnowledgeBoat · Accepted Answer

By the division algorithm,

Dividend = Divisor × Quotient + Remainder.

Here, Divisor = 15, Quotient = 17 and Remainder = 10.

$\Rightarrow 15 \times 17 + 10 = 255 + 10 \\[1em] = 265.$

Since this equals the dividend 265, the statement is verified.

Hence, 265 = 15 × 17 + 10 is verified to be true.

Mathematics