Question

The lcm of x and 12 is 120
the hcf of x and 12 is 4
work out the value of x

Answer 1

40

Explanation:

To find the unknown number x, divide the product of LCM and HCF by the known number.

`\boxed{\text{\bf Product of two numbers = LCM * HCF}}`

Here, LCM and HCF are given. Then one number also given.

LCM = 120

HCF = 4

One number = 12

x * 12 = 120 * 4

`\sf x = (120*4)/(12)\\\\x = 10* 4\\\\\boxed{\bf x = 40}`