denominater of fraction is 5 more than the numerater if the numerater is incresed by 18 and denominater decreased by 4, the fraction becomes 25/8 find the fraction
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Old Fraction = 7/12
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Step-by-step explanation:
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Given:
Old fraction = x / x + 5
New fraction = x + 18 / x + 5 - 4 = x + 18 / x + 1
Fraction = 25 / 8
Solution:
Fraction = x + 18 / x + 1
25 / 8 = x + 18 / x + 1
Cross-multiply 25 with x+1 & 8 with x+18
25x + 25 = 8x + 144
25x - 8x = 144 - 25
17x = 119
x = 119 / 17
x = 7
x + 5 = 7 + 5 = 12
∴ Old Fraction = 7/12
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