Three numbers are in the ratio 5 : 7 : 9, and their LCM is 1260. What is the difference between the largest and the smallest number?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 16.
Let the numbers be 5x, 7x and 9x, where x is the common factor
LCM of 5x, 7x and 9x = 315x
According to the question;
⇒ 315x = 1260
⇒ x = 4
Hence, the required difference = 9x - 5x = 4x
⇒ 16