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The sum of half, one third, one fourth of a number exceeds the number by 18. The number is ?

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The sum of half, one third, one fourth of a number exceeds the number by 18. The number is ?
1). 144
2). 152
3). 216
4). 200


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1 answers

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Answered by on | Votes 2 |

⇒ Let the number be x,

$(\Rightarrow {\rm{\;}}\frac{x}{2} + \frac{x}{3} + \frac{x}{4}\; = \;x + 18)$

⇒ (6x + 4x + 3x)/12 = x + 18

⇒ 13x/12 = x + 18

⇒ 13x = 12x + 216

∴ x = 216

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