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

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

1. 54, 162
2. 108, 108
3. 27, 189
4. None of these

Correct Option: C

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)