Question

if 3 upon 5 of a number exceeds it its 2 upon 7 by 44 find the number

Answer 1

Let the number be x.
$\frac{3}{5} th \: of \: number \: = \: \frac{3}{5}x \\ \\ \frac{2}{7} th \: of \: number \: = \frac{2}{7}x \\ \\ according \: to \: question \\ \\ \frac{3}{5}x \: - \frac{2}{7}x \: = 44 \\ now \: take \: lcm \\ \frac{21x - 10x}{35 } = 44 \\ 11x = 44 \times 35 \\ x = \frac{44 \times 35}{11} \\ x = 4 \times 35 \\ x = 140$
So the number is 140.

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