Question

Three numbers are in the ratio \(\frac{3}{4}:\frac{5}{8}:\frac{7}{12}\). If the difference between the greatest and the smallest number is 48, then the value of the greatest number will be:
1. 262
2. 126
3. 216
4. 226

Answer 1

Correct Answer - Option 3 : 216

Given:

Ratio of three numbers = 3/4 : 5/8 : 7/12

Calculation:

Let three numbers be 3a/4, 5a/8 and 7a/12 respectively.

⇒ 3a/4 - 7a/12 = 48

⇒ 2a/12 = 48

⇒ a = 288

∴ Greatest number = 3a/4 = 3 × 288/4 = 216