Math, asked by deepthimadinapalli95, 1 year ago

Find the fraction which becomes to 2/3 when the numerator is increased by 2 and equals to4/7
when the denominator is increased by 4.

Answers

Answered by arshbbcommander

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Let the fraction be

$\frac{x}{y}$

Case 1

$\frac{x + 2}{y} = \frac{2}{3} \\ 3x + 6 = 2y \\ 3x - 2y = - 6.....i)$

Case 2

$\frac{x}{y + 4} = \frac{4}{7} \\ 7x = 4y + 16 \\ 7x - 4y = 16....ii)$

Multiplying eqn i) with 2 and ii) with 1

i) ==> 6x-4y=-12

Subtracting the eqns

6x-4y-(7x-4y)=-12-16

6x-7x-4y+4y=-28

-x=-28

3x-2y=-6

84-2y=-6

-2y=-90

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...Hope it helps....

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