Question

A fraction is such that when the denominator is increased by 1,it becomes1/2,and when the numerator is decreased by 2,it becomes 1/3.Find the fraction.

Please solve and explain

Answer 1

this may be helpful.

Answer 2

Answer:

numerator = 5 and denominator =9

Step-by-step explanation:

x/y+1=1/2

do cross multiply

2x=y+1

2x-y=1 ......1equation

x-2/y=1/3

do cross multiply

3x-6=y

3x-y=6......2equation

combing both the equation

3x -y=6

2x-y=1

change signs

3x-y=6

-2x+y=-1

cancel y

So ...

x=5

put value of x in 2nd equation we get

y=9

thank you