Question

hcf of two numbers is 24 and their sum is 360. how many of such number pairs are possible?'

Answer 1

$24x + 24y = 360 \\ x + y = 15 \\ possible \: pairs \: are \: (1 \: \: and \: 15) \\ (2 \: and \: 13) \\ (4 \: and \: 11) \\ (7 \: and \: 8)$