Question

The denominator of a rational number is 5 more than its numerator. If the denominator is decreased by 3 and the numerator is decreased by 2, the number obtained is 7/5. Find the rational number.

Answer 1

Step-by-step explanation:

${\red{\bf{Let \: the \: Number \: be \: = x}}}$

${\blue{\bf{denominator \: be \: = 2x}}}$

${\pink{\bf{ATQ}}} \\ \\ \\ {\pink{\bf{ \frac{x - 3}{2x + 7} = \frac{2}{5} }}}$

${\green{\bf{(5x - 3) = 2(2x + 7)}}} \\ \\ {\gray{\bf{5x - 15 = 4x + 14}}}$

${\orange{\bf{5x - 15 = 14 + 15}}} \\ {\purple{\bf{1x = 29}}} \\ {\pink{\bf{x = 29}}}$

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