Three numbers are in the ratio 2: 3 : 4. If their LCM is 240. The difference of the larger and smaller number is:
Answer & explanation
Correct answer: option 4
Let number are = 2x, 3x, 4x
Given,
LCM of
2x, 3x, 4x = 12x
12x = 240
x = 20
∴ Numbers are -
⇒ 2 × 20 = 40
⇒ 3 × 20 = 60
⇒ 4 × 20 = 80
The difference of the larger and smaller number is = 80 - 40 = 40