Question

the sum of the numerator and denominator of a fraction is equal to 7. four times the numerator is 8 less than 5 times the denominator. find the fraction

Answer 1

N + D = 7
D = 7-N

4N + 8 = 5D
4N + 8 = 5(7-N)
4N + 8 =  35 - 5N
4N + 5N = 35 - 8
9N = 27 
N = 27 / 9 = 3

N = 3
D = 7 - 3 = 4
THEREFORE 3 / 4 IS THE FRACTION

Answer 2

The fraction is 3\4 for the given conditions