Question

The sum of two numbers is 216 and their GCD is 27 then find the numbers?

Answer 1

Since the GCD is 27, each number is a multiple of 27. So the possible triplets are-

27,189
54,162 (has GCD 54, rejected)
81,135
108,108(has GCD 108, rejected)

So your possibilities are 27,189 and 81,135.
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