Question

If a number of which the half is greater than one fifth of the number by 15 then the number is?

Answer 1

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Answer 2

$let \: the \: number \: be \: 2x \\ \frac{1}{2}(2x) - \frac{1}{5}(2x) = 15 \\ ( \frac{1}{2} - \frac{1}{5})(2x) = 15 \\ \frac{5}{10} - \frac{2}{15})(2x) = 15 \\ \frac{3}{10} \times 2x = 15 \\ \frac{3}{5} = 15 \\ transpose \\ \frac{15 \times 5}{3} \\ = 25 \\ \\ so \: the \: number \: = \geqslant 25 \times (2x) = \\ 25 \times 2 = 50$