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The sumof two numbers is 216 and HCF is 27. Find the number

Asked by Praveen 15th June 2015, 7:36 AM
Answered by Expert
Answer:
HCF of two numbers are 27. Hence, we can write the two numbers as 27a and 27b, where 'a' and 'b' are co-primes (without any common factor)
Hence, as per the question, 27a+27b=216 => a+b = 216 / 27 = 8
Since 'a' and 'b' are co-prime, we can take the following combination to make the sum 8:
(1,7) and (3,5).
So in the first case, the numbers are 27*1 and 27*7, that is 27 and 189.
In the second case, the numbers are 27*3 and 27*5, that is 81 and 135.

Answered by Expert 15th June 2015, 10:52 AM
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