Q4
ArithmeticRatio, Proportion & Mixtures
Three numbers are in the ratio $\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$. The difference between the greatest and the smallest number is 36. The numbers are
- a.72, 84, 108
- b.60, 72, 96
- c.72, 84, 96
- d.72, 96, 108
Answer: (D) 72, 96, 108
Multiplying by 12, the ratio $\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$ becomes 6 : 8 : 9. The difference between greatest and smallest is 9k − 6k = 3k = 36, so k = 12 and the numbers are 72, 96, 108. The other sets are not in the ratio 6 : 8 : 9.