The denominator of a fraction exceeds the numerator by 5 if the numerator is increased by 9 then the fraction is increased by 1 find the fraction.
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The denominator of a fraction exceeds the numerator by 5 if the numerator is increased by 9 then the fraction is increased by 1 find the fraction.
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Given that:
To Find:
Let us assume:
According to the question.
ㅤ↠ㅤ(x + 9)/(x + 5) = x/(x + 5) + 1
ㅤ↠ㅤ(x + 9)/(x + 5) = (x + x + 5)/(x + 5)
Cancelling the denominator (x + 5).
ㅤ↠ㅤx + 9 = x + x + 5
ㅤ↠ㅤx + 9 = 2x + 5
ㅤ↠ㅤ2x - x = 9 - 5
ㅤ↠ㅤx = 4
Hence,