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The product of two numbers is 216 and their HCF is 27, then the numbers are

A) 80, 136
B) 76, 14
C) 96, 25
D) 27, 189

Correct Answer:




D) 27, 189

Description for Correct answer:
The sum of two numbers is 216 and their HCF is 27.

Let x and y be the numbers

\( \Large 27x+27y=216,\ x+y=8 \)

The possible pairs are (1, 7) and (2, 6)

The Co. prime pairs is (1, 7)

The numbers are \( \Large \left(27 \times 1,\ 27 \times 7\right) = 27,\ 189 \)

Part of solved LCM and HCF questions and answers : >> Elementary Mathematics >> LCM and HCF

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