Arithmetichard · Past Paper

The ratio of three numbers is 1/2 : 2/3 : 3/4. If the difference between the largest and smallest is 36, find the numbers.

A72, 96, 108
B60, 80, 90
C36, 48, 54
D48, 64, 72

✓ Correct Answer: A72, 96, 108

Multiply by LCM 12 to get ratio 6:8:9. 9x - 6x = 36 => 3x = 36 => x = 12. Numbers are 72, 96, 108.

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