If three numbers are in the ratio of 3:5:7 and their LCM is 2415, what is the difference between the second number and the first number?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 46.
The ratio of three numbers = 3 ∶ 5 ∶ 7
LCM = 2415
Let the number be 3x, 5x, and 7x.
LCM of (3x, 5x and 7x) = 3 × 5 × 7 × (x) = 105x
According to the question -
105x = 2415
x = 2415/105
x = 23
Difference between second and first number = 5x - 3x = 2x = 2 × 23 = 46