Three numbers are in the ratio 12:13:16 .If the sum of the greatest and the least exceed the other by 24, what is the greatest number?
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Three numbers are in the ratio 12:13:16 .If the sum of the greatest and the least exceed the other by 24, what is the greatest number?
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Answer:
96
Step-by-step explanation:
Let the ratio be 12x : 13x : 16x.
According to Question,
16x = 12x + 24
16x - 12x = 24
4x = 24
x = 6
Hence, greatest number = 16 * 6 = 96