the sum of two numbers is 216 and their h c f..., HCF & LCM, General Mathematics

Question:The sum of two numbers is 216 and their H.C.F. is 27. The numbers are:

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+ AnswerA

+ Explanationsolution:
Let the required numbers be`27a and 27b`.
Then, `27a+27b=216`
`=> a+b=8`.
Now,co-primes with sum 8 are `(1,7) & (3,5)`.
`:.` Required number are `(27 xx 1, 27 xx 7) & (27 xx 3, 27 xx  5)`
i.e. `(27,189) & (81,135)`.
Out of these, the given one in the answer is the pair `(27,189)`.

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Question:The sum of two numbers is 216 and their H.C.F. is 27. The numbers are:

A 27,189

B 154,162

C 108,108

D 81,189

A