Question

2. The reciprocal of the hcf and lcm of two numbers are 1/12 and 1/312 respectively. If one of the numbers is 24, what is the other number

Answer 1

By the property of equality of
-> product of two numbers x and y
-> product of HCF (H) and LCM (L) of x and y

x * y = H * L

x * 24 = 12 * 312

Hence x = 156

Answer 2

Step-by-step explanation:

Given :  

First number = 24

reciprocal of the hcf = 1/12

HCF = 12

reciprocal of the LCM = 1/312

LCM = 312

Let the other number be x

Product of first number ×  second number = HCF × LCM

24 × x =12 × 312

x = (12 × 312)/24

x = 312/2  

x = 156

Other number = 156

Hence, the other number = 156