Three numbers are in the ratio 3 : 4 : 5. If their LCM is 360. The difference of the larger and smaller number is:
Answer & explanation
Correct answer: option 3
Let number are = 3x, 4x, 5x
Given,
LCM of
(3×4×5)x = 60x
60x = 360
x = 6
∴ Numbers are -
⇒ 3 × 6 = 18
⇒ 4 × 6 = 24
⇒ 5 × 6= 30
The difference of the larger and smaller number is = 30 - 18= 12