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The sum of two number is 216 and their H.C.F is 27. The numbers are?

54, 162
108, 108
27, 189
None of these

Correct Answer: 27, 189

Explanation:

Let the number be 27a and 27b
Then, 27a + 27b = 216
or a + b = 216/27 = 8
∴ Values of co-primes with sum 8 are (1, 7) and (3, 5)
So, the number are (27 x 1 , 27 x 7) i.e. (27, 189)

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