Question

the denominator of a fraction is greater than its numerator by 3 if 5 is added to both parts , the resulting fraction is equivalent to 4/5 find the fraction

Answer 1

Let numerator be x,
Denominator be (x + 3)

$fraction = \frac{x}{x + 3}$


×××××××××××××


When 5 is added to both, fraction becomes 4/5


$\frac{x + 5}{ x + 3 + 5} = \frac{4}{5} \\ \\ 5(x + 5) = 4(x + 8) \\ \\ 5x + 25 = 4x + 32 \\ \\ 5x - 4x = 32 - 25 \\ \\ x = 7 \\ \\ \\ \\ \\ original \: fraction \: = \frac{x}{x + 3} = \frac{7}{7 + 3} = \frac{ 7}{10}$





I hope this will help you



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Answer 2

Heya ✋

Let see your answer !!!!!

Let the numerator be x. Then,

denominator = x + 3.

According to question ,

x + 5 / x + 3 + 5 = 4/5

=> x + 5 / x + 8 = 4/5

=> 5(x + 5) = 4(x + 8)

=> 5x + 25 = 4x + 32

=> 5x - 4x = 32 - 25

=> x = 7

Hence , numerator = 7 and

denominator = 7 + 3 = 10.

So , the original fraction = 7/10.









Thanks :)))))))