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:
Answer & explanation
Correct answer: option 3
Here,
$\frac{3}{4}:\frac{5}{8}:\frac{7}{12}$
⇒ Taking LCM 24,
⇒ 6 x 3 : 3 x 5 : 2 x 7
⇒ 18 : 15 : 14
⇒ The difference between the greatest and the smallest number = 48
⇒ (18 - 14)units = 48
⇒ 12 units = 48
⇒ 1 unit = 12,
⇒ The greatest number = 18 x 12 = 216.