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Problems based on Numbers Test 4
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© examsnet.com
Question : 20
Total: 40
If 1 is added to the denominator of a fraction, the fraction becomes
1
2
. If 1 is added to the numerator of the fraction, the fraction becomes 1. What is the fraction?
3
2
3
4
2
3
1
3
Validate
Solution:
Let fraction be
x
y
; then
x
y
+
1
=
1
2
⇒
2
x
=
y
+
1
⇒
2
x
−
y
=
1
...(i)
Again,
x
+
1
y
=
1
⇒
x
−
y
=
−
1
...(ii)
Solving equations (i) and (ii) we get x = 2 and y = 3
Hence, fraction
=
2
3
© examsnet.com
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