Question

The LCM and ratio of four numbers are 4752 and 4 : 9 : 16 : 22, respectively, Find the difference between the greatest and the least number
1. 15
2. 54
3. 18
4. 21

Answer 1

Correct Answer - Option 2 : 54

Given:

LCM = 4752

The ratio of number =  4 : 9 : 16 : 22

Calculation:

Let the number be 4x, 9x, 16x and 22x

LCM of 4x, 9x, 16x and 22x = 1584x

⇒ 1584x = 4752

⇒ x = 3

The difference = (22 - 4) × 3 = 54

∴ The difference between the greatest and the least number is 54