Frame the equation for: The denominator of a rational number is 2 less than its numerator. If the numerator is decreased by 5 and the denominator is increased by 1, the new rational number is 2/3
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Let the numerator of the rational number be x.
So as per the given condition, the denominator will be x + 8.
The rational number will be
x
x
+
8
According to the given condition,
x
+
17
x
+
8
−
1
=
3
2
x
+
17
x
+
7
=
3
2
3(x + 7) = 2(x + 17)
3x + 21 = 2x + 34
3x – 2x + 21 – 34 = 0
x – 13 = 0
x = 13
The rational number will be
=
x
x
+
8
=
13
13
+
8
Rational number = 13/21
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