Question

If 2 is added to number and denominator both it becomes 9/10 and if 3 is sub from number as well as denominator it become 4/5 . Find the any frachon.​

Answer 1

Answer:

Let the fraction be n/d. It is given

(n+2)/(d+2)=9/10 equation 1

(n-3)/(d-3)=4/5 equation 2

Equation 1 gives

10n+20=9d+18

10n-9d=-2 Equation 3

Equation 2 gives

5n-15=4d-12

5n-4d=3 Equation 4

Multiply equation 4 by 2 and subtract from equation 4

-d=-2-6=-8

d=8

put this value of d in any of the above equations

5n-4×8=3

5n=3+32=35

n=35/5=7

So fraction is 7/8