Question

Sum of numerator and denominator of a fraction is 7. When the denominator is
added to numerator and numerator is subtracted from denominator, the fraction
becomes 7. Find the fraction.​

Answer 1

Answer:

required fraction is 3/4

Step-by-step explanation:

let the numerator be x

denominator be y

the fraction is x/y

given that sum of numerator and denominator is 7

x + y = 7 equ (1)

when denominator is added to numerator x+y

when numerator is subtracted from denominator y-x

$\frac{x + y}{y - x} = 7 \\ x + y = 7(y - x) \\ 7 = 7(y - x) \\ y - x = \frac{7}{7} = 1 \: \: \: \: \: \: \: \: \: equ \: (2) \\ \\ from \: equ \: (1) \: and \: (2) \\ 2y = 8 = y = \frac{8}{2} = 4 \\ \\ x + y = 7 \\ x + 4 = 7 \\ x = 7 - 4 = 3$

hope you get your answer