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? 2 9 16
Given: N: The numerator. D: The denominator. SOLVING: [tex] \frac{N+3}{D}= \frac{3}{4}\ ===>\ Simplify[/tex] 4(N + 3) = 3D 4N + 12 = 3D 4N - 3D = - 12 ===> First equation.
[tex] \frac{N}{D-7}=1\ ===>\ Simplify[/tex] N = 1(D - 7) N = D - 7 ===> Second equation.
We replace the second equation in the first equation: 4(D - 7) - 3D = - 12 4D - 28 - 3D = - 12 D = - 12 + 28 D = 16 ===> The denominator. N = 16 - 7 N = 9 ===> The numerator. SOLUTION GOOD LUCK...!!!
