HCF of two numbers =27 Let two numbers are in the ratio a:b , then numbers are 27a and 27b. Given that , sum of two numbers is 216 27a + 27 b = 216 a+b = 216/27= 8 Writing the possibilities of a and b to be sum is 8 ( 1,7 ), (2,6),(3,5) and (4,4). Of these pairs, (1,7) and (3,5) are relatively primes . Therefore, 2 such pairs are possible.And those required numbers are ( 1 x 27 , 7 x 27) and ( 3 x 27, 5 x 27) = (27 , 189) and (81,135)
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