Question

subtracted from both numerator and denominator, find the fraction.
3. A fraction becomes 9/2 when 2 is added to numerator and 1 is subtracted from denominator. A fraction becomes 5
when 1 is added to twice the numerator, find the fraction.
4. 1 is the result, when 3 is added to numerator and 6 is subtracted from denominator. When 5 is added to both
numerator and denominator the result is 14. find the fraction
5. When 2 is multiplied by numerator and 7 is multiplied by denominator the resulting fraction is 10/21. Sum of the
numerator and denominator is 8. Find the fraction.
​

Answer 1

3. let the fraction be x/y

now,

x+2 =9

y-1 = 2

therefore,

2x+4=9y-9

2x-9y=-13.......(1)

also,

2x+1= 5

y

5y= 2x+1

2x-5y=-1........(2)

now

subtracting (2) from (1),

2x-9y=-13

-2x+5y=1

-4y=-12

y=-12/-4=12/4=3

substituting value of y in (2)

2x-5y=-1

2x-15=-1

2x=14

x=14/2=7

therefore

fraction = 7/3

just do the rest like the one above❤☺