the sum of the numerator& the denominator pf a given fraction is 12 .if 3 is added to its denominator,then the fraction becomes 1/2 .find the given fraction
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1
Answer:
I got
5
7
Explanation:
Let call our fraction
x
y
, we know that:
x
+
y
=
12
and
x
y
+
3
=
1
2
from the second:
x
=
1
2
(
y
+
3
)
into the first:
1
2
(
y
+
3
)
+
y
=
12
y
+
3
+
2
y
=
24
3
y
=
21
y
=
21
3
=
7
and so:
x
=
12
−
7
=
5
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