Question

Two numbers are in the ration 3:4 and the product of their lcm and hcf is 10800.the sum f the numbers is

Answer 1

The numbers are 90 and 12

solution
since ratio of the numbers is 3:4
the numbers are 3x and 4x
now product of 2 numbers = product of their hcf and LCM
so 3x * 4x = 10800
12x^2 = 10800
x^2 = 900
x = 30
so numbers are 3x and 4x
= 90 and 120.