The three numbers are in the ratio 1/2 : 2/3 : 3/4. The difference between greatest and smallest numbers is 36. Find the numbers.
A)72, 84, 108
B)60, 72, 96
C)72, 84, 96
D)72, 96, 108

Question

Quizplus · Accepted Answer

The numbers are in the ratio 1/2:2/3:3/4. To compare them easily, find a common denominator, which is 12. The ratios become 6:8:9. The difference between the greatest and smallest (9-6) is 3 parts, equal to 36. Thus, each part is 12, making the numbers 72 (6x12), 96 (8x12), and 108 (9x12).

The Three Numbers Are in the Ratio 1/2 : 2/3