Three numbers are in the ratio 2: 3 : 4.

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Question:

Three numbers are in the ratio 2: 3 : 4. If their LCM is 240. The difference of the larger and smaller number is:

Options:

Correct Answer:

Explanation:

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