Please answer (v) part
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Answer:
7/9
Step-by-step explanation:
let the fraction be x/y
ATQ, (x+2)/(y+2)=9/11
=> 9y+18=11x+22
=>9y - 11x =4..........(1)
and (x+3)/(y+3)=5/6
=> 6x+18=5y+15
=>5y-6x=3...........(2)
now, (1)×6 - (2)×11 we have
54y - 66x -55y + 66x = 24 - 33
=> - y = - 9
=> y= 9
from (2) we get
5×9 - 3=6x
=> 6x = 45-3
=> x= 42/6 = 7
the required fraction is 7/9
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