The ratio of four positive numbers is 5 : 8 : 12 : 18 and their LCM is 2880. The difference between the greater and the smaller number is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 104.
Given:
The ratio of four positive numbers is 5 : 8 : 12 : 18
LCM is 2880
Calculations:
Let the numbers be 5x, 8x, 12x and 18x
LCM of 5x, 8x, 12x and 18x = 360x
According to the question,
⇒ 360x = 2880
⇒ x = 8
Difference between the greater and the smaller number = 18x - 5x = 13x
⇒ 13 × 8 = 104