Question

the denominator of a fraction is 4 more than the numerator if 1 is added to the numerator rater and 2 is added to the denominator the value of the functions become 4/5 find the original fraction
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Answer 1

Explanation:

Let the numerator be = x

Then , the denominator is = x + 4

According to Question,

$(x + 1) \div (x + 4 + 2) = 4 \div 5$

$(x + 1) \div ( x + 6) = 4 \div 5$

$5(x + 1) = 4(x + 6)$

$5x + 5 = 4x + 24$

$x = 19$

Therefore , the numerator = x = 19

And Denominator = x+4 = 23

The Original fraction is 19/23

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