A fraction becomes 9/11 if 2 is added to both the numerator and denominator it becomes 5/6 find the fration
Answers
Answered by
2
Ans = fraction is (18/22)
Solution:-
let the fraction be x/y
according to question
(x/y) = (9/11) .....(1)
((x+2)/(y+2)) = (5/6) ......(2)
from (1) we get
11x - 9y = 0 .......(3)
from (2) we get
6x- 5y = -2 ........(4)
now equate (3) &(4) for the x and y by multiplying eq. (3) with 5 and eq.(4) with 9 and cancel out y in both eqation.
after cancelling the y out the eq we get is
-x = -18
which means x= 18 and y= 22
Solution:-
let the fraction be x/y
according to question
(x/y) = (9/11) .....(1)
((x+2)/(y+2)) = (5/6) ......(2)
from (1) we get
11x - 9y = 0 .......(3)
from (2) we get
6x- 5y = -2 ........(4)
now equate (3) &(4) for the x and y by multiplying eq. (3) with 5 and eq.(4) with 9 and cancel out y in both eqation.
after cancelling the y out the eq we get is
-x = -18
which means x= 18 and y= 22
Similar questions