Question

If 1/4 of a number is added to 1/3 of that number, the result is 15 greater than half of htat number .Find the number

Answer 1

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Answer 2

$Let \:a \: number \: be \: x$

$\Big(\frac{1}{4}\Big)^{th} \: of \: x = \frac{x}{4}$

$\Big(\frac{1}{3}\Big)^{rd} \: of \: x = \frac{x}{3}$

$Half \: of \: x = \frac{x}{2}$

/* According to the problem given */

$\frac{x}{4} + \frac{x}{3} = \frac{x}{2} + 15$

$\implies \frac{x}{4} + \frac{x}{3} - \frac{x}{2} = 15$

$\implies \frac{3x+4x-6x}{12} = 15$

$\implies \frac{7x-6x}{12} = 15$

$\implies \frac{x}{12} = 15$

$\implies x = 12 \times 15$

$\implies x = 180$

Therefore.,

$\red { Required \: number } \green {=180}$

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