Question

Sum of two numbers is 216 and their HCF is 27. The numbers are.?

Answer 1

Let the require numbers be 27 a and 27 b

27 a + 27 b = 216

a + b = 8

Now co-primes with sum 8 are (1 , 7 ) and ( 3 , 5 )

The require numbers (27 x 1, 27 x 7) and ( 27 x 3, 27 x 5)

(27, 189 ) and ( 81 , 135 )