the denominator of a fraction is 3more than the numerator if 5is added to both parts, the resulting fraction is equivalent to 4 upon5.find the fraction
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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
Therefore, numerator = 7 and denominator = 7+3 = 10
Hence, the fraction = 7/10.
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
Therefore, numerator = 7 and denominator = 7+3 = 10
Hence, the fraction = 7/10.
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