Question

The sum of two numbers is 684 and their hcf is 57. Find all possible pairs of such numbers

Answer 1

Answer:

HCF of given number=57

Sum of two numbers = 684

let numbers be 57x & 57y,where x & y are prime to each other

According to sum,

57x + 57y = 684

so,x+y=12

Hence required pairs are (1,11) & (5,7)

Thus, required pairs of numbers =

{57 & 627} {285 & 399}