Question

if 1/3 of a number is exceeds its 2/7 by 1 , find the rational number
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Answer 1

Step-by-step explanation:

$let \: the \: number \: = x \\ \frac{1}{3} \: of \: a \: number = \frac{x}{3} \\ \frac{2}{7} \: of \: the \: number \: = \frac{2x}{7} \\ given \\ \frac{1}{3} \: of \: a \: number \: exceeds \: its \: \frac{2}{7} \: by \: 1 \\ \\ \frac{x}{3} \: - \: \frac{2x}{7} \: = 1 \\ \frac{7x - 6x}{21} \: = 1 \\ \frac{x}{21} \: = 1 \\ x \: = 21 \\ \\ therefore \: \: required \: number \: = \: 21.$

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