If the numerator of a fraction is increased by 3, the fraction becomes 3/4. If the denominator is decreased by 7, the fraction becomes 1. What is the numerator of the fraction?
Accepted Solution
A:
Hey there!
n=numerator and d=denominator (n+3)/d=3/4 n/(d+7)=1 n=d+7 (d+7+3)/d=3/4 substitute d+7 for n. (d+10)/d=3/4
) 4(d+10)=3d multiply each side by 4d 4d+40=3d=-40 n=-40+7 n=-33