the denominator of a fractionis greater than its numerator by11 if 8 is added to both its numerator and denominator it becomes 3/4 find the fraction
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Solution -
Let's assume the Numerator as x
So, the Dinominator as x + 11
Required fraction = x/x + 11
According to Question,
x + 8/x + 11 + 8 = 3/4
⇒ x + 8/x + 19 = 3/4
⇒ 4(x + 8) = 3(x + 19)
⇒ 4x + 32 = 3x + 57
⇒ 4x - 3x = 57 - 32
⇒ x = 25
Measurements -
Numerator = x = 25
Dinominator = x + 11 = 25 + 11 = 36
∴ Required Fraction = 25/36
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