Question

The hcf of three number is 8.the sum of the three number is 72.list the possible sets of such three numbers.

Answer 1

let the nos are m,n&o
as their hcf is 8 we can write
m=8x
n=8y
o=8z
x,y,z are nos like m,n,o
m+n+o=72
=> 8x+8y+8z=72
=>x+y+z=9
so now we need to find combination of such one digit nos whose sum won't exceed
6,2,1
5,3,1
4,2,3
so 3 sets of nos are possible those are
48, 16, 8
40, 24, 8
32, 16, 24