Sum of the numerator and the denominator of a fraction is 12. If the denominator is increared
by 3 then fracton becomes 1/2. Find the fraction.
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Explanation:
Let call our fraction xy, we know that:
x+y=12
and
xy+3=12
from the second:
x=12(y+3)
into the first:
12(y+3)+y=12
y+3+2y=24
3y=21
y=213=7
and so:
x=12−7=5
so the fraction will be 5/7 .
Let call our fraction xy, we know that:
x+y=12
and
xy+3=12
from the second:
x=12(y+3)
into the first:
12(y+3)+y=12
y+3+2y=24
3y=21
y=213=7
and so:
x=12−7=5
so the fraction will be 5/7 .
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