Question

FIND 2 DIGIT NO WHOSE HCF IS 24 AND LCM IS 144

Answer 1

Let the no.s be " a , b"         { I'm more comfortable with a and b }
Then,
(a,b) = 24
and {a,b} = 144
=> ab = 144 * 24 = 24 * 2 * 72
.'. 72 * 48 can be a factorization

See, that 24 * 3 * 48 would give the same factorization.....

.'. 48 and 72 are the no.s  OR 48 * 2 = 96 and 36 are the no.s

Answer 2

96 and 36 is correct