Question

A fraction is such that the numerator 5 less than the denominator also four times the numerator is one more than denominator find the fraction

Answer 1

Answer: 2/7

Step-by-step explanation:

Given,

numerator is 5 less than the denominator

n = d - 5

Four times the numerator is one more than the denominator

4n = 1 + d

By subtracting first equation from second equation we get,

3n = 6

n = 2

By substituting n value in first equation we get,

2 = d - 5

d = 2 + 5

d = 7

Answer 2

Answer:

let x+5 be the denominator

x=numerator

x/x+5=4x/4x+1

x/x+5=4x/4x+1

x(4x+1)=4x(x+5)

4x+x=4x^2+20x

5x=4x^2+20x

5x=4x(x+5)

5x/4x=x+5

20/4-5/4=x

15/4=x

mark as the best answer