Question

If the HCF of 48 and 60 is expressible in the form of 48q-60 , then find the value of q.

Answer 1

48 = 2×2×3×4

60 = 2×2×3×5

Hence, HCF of 48&60 is 2×2×3 viz, 12

i.e., 12 = 4q-60

4q = 12+60 = 72

q = 18