The numerator of a fraction is smaller than its denominator by 4. If the numerator is increased by 3 and the denominator is decreased by 5, the number becomes 2. Find the numerator of the fraction. Urgent!!!!!!!!
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Answer:
numerator = 5
Step-by-step explanation:
let numerator be x, then denominator = x + 4 [ given, numerator is 4 less the denominator]
when numerator increased by 3, it becomes x + 3
when denominator decreased by 5 , it becomes (x + 5 - 4) = x - 1
number = 2 (numerator / denominator = 2)
(x + 3) / (x - 1) = 2
(x + 3) = 2(x - 1)
x + 3 = 2x - 2
x - 2x = -2 - 3
-x = -5 [negative sign cancels off]
x = 5
ie, numerator = 5, denominator = 5 + 4 = 9
fraction is 5/9
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