the denominator of a fraction is 9 morethan numerator if the numerator and denominator both increased by 7 the new fraction becomes 7/10 find original fraction
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Answer:
let x be the numerator and
y be the denominator.
therefore the fraction is x/y
from the condition first,
y=x+9
y-x=9
x-y=-9....(1)
from the 2nd condition
if the numerator and denominator increased by 7 then.
numerator=x+7
denominator=y+7
x+7/y+7=7/10
10x+70=7y+49
10x-7y=-70+49
10x-7y=-21.....(2)
multiply eqn (1) by 7
7x-7y=-63....(3)
subtract eqn (3) fron (2)
3x=-84
x=-28
put x=-28in eqn (1)
-28-y=-9
-y=-9+28
y=19
original fraction is -28/19
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