One-half of a number is 1 more than one-third of the same number. What is the number?

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13-10-2015
Mathematics

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One-half of a number is 1 more than one-third of the same number. What is the number?

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IJBalot IJBalot · Answer 1 · 2015-10-13T10:36:24+02:00

IJBalot IJBalot

13-10-2015

Let the number be x,
(1/2)x=1+(1/3)x
Solving for x,
(1/2)x-(1/3)x=1+(1/3)x-(1/3)x
(1/2)x-(1/3)x=1
(1*3/6)x-(1*2/6)x=1
(3/6)x-(2/6)x=1
(1/6)x=1
6*(1/6)x=6*1
Therefore, x=6

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Flipped Flipped · Answer 2 · 2015-10-13T13:49:23+02:00

Flipped Flipped

13-10-2015

(1/2)x = (1/3)x +1
-(1/3)x -(1/3)x

(1/6)x=1
*6 *6
x=6

And so x=6, or your number is 6

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