Question

Two numbers are in the ratio of 3:4 and their lcm is 180; fid the numbers

Answer 1

Answer:

Let the 2 numbers be 3x and 4x and HCF be x.

Using formula, a×b = LCM × HCF

3x × 4x = 180 × x

12x² = 180x

x = 180/12

x = 15

a = 3x = 3×15 = 45

b = 4x = 4×15 = 60

HCF = x = 15