Question

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

Answer 1

Answer:Given:

N: The numerator.

D: The denominator.

SOLVING:

4(N + 3) = 3D

4N + 12 = 3D

4N - 3D = - 12 ===> First equation.

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...!!!

Explanation:

Answer 2

Given:
N: The numerator.
D: The denominator.
SOLVING:

`(N+3)/(D)= (3)/(4)\ ===>\ Simplify`
4(N + 3) = 3D
4N + 12 = 3D
4N - 3D = - 12 ===> First equation.


`(N)/(D-7)=1\ ===>\ Simplify`
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...!!!