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If a quarter of a number be added to one...

If a quarter of a number be added to one-third of the number, the result is 20 greater than half of the number. find the number.

Text Solution

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Let the number is x.
Quarter of number = x/4
One - third of the number = x/3
Half of the number= x/2 `:. x/4 + x/3 = 25 + x/2 `
` :. (3x +4x)/(12) = (50+x)/2`
`:. (7x)= (12)xx (50+x)/2`
`:. 7x = 300 + 6x`
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