A Puzzling Number

Algebra Level pending

There is a number which is greater than the aggregate of its third, tenth and twelfth parts by 58 .

What is the number?


The answer is 120.

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1 solution

Roger Erisman
Jan 4, 2017

Call the number X.

The number is larger than the sum of 1/3 X , 1/10 X and 1/12 X by 58.

X = X/3 + X/10 + X / 12 + 58

29*X/60 = 58

X = 60*58/29 = 120

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