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?
Given:
Ratio of three numbers = 5 : 7 : 9
LCM of the numbers = 1260
Formula Used:
LCM of numbers = LCM of coefficients x.
Solution:
If numbers are in a ratio a:b:c, then actual numbers are 5x, 7x, 9x.
LCM of numbers = LCM of (5,7,9) x
LCM of 5, 7, and 9 = 315
So, 315x = 1260
x =
The numbers are:
5x = 20
7x = 28
9x = 36
Difference between largest and smallest = 36 - 20 = 16
Thus, the correct option is (c) 16
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