the denominater of a fraction is greater than its numerator by 12 if the numerator is decreased by 2 and the denominater is increased by 7, the new fraction is equivalent with 1/2 find the fraction
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Step-by-step explanation:
The denominator is x+12
fraction is x/x+12
numinitor is decreased by 2
the new number is x-2
denominator is x+12+7 = x+19
from the given condition.
x-2/x+19=1/2
2(x-2) = x+19
2x-4 = 2+19
2x-x = 19+4
x = 23 and x+12 = 23+12 = 35
so the fraction is 23/35
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