denominator of a rational number is greater than its denominator by 8 if the nominator is increased by 17 and denominator is decreased by 1 then the number of 10 is 3 by 2 find the rational number
Answers
Answer:
Let the numerator of the rational number be x.
So as per the given condition, the denominator will be x + 8.
Step-by-step explanation:
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.
Answer:
Let the numerator of the rational number be ×
so as per the given condition, the denominator will be ×+8
Step-by-step explanation:
The rational number will be. ×. ×. +. 8 According to the given condition,. × + 17. ×. +. 8. -. 1. = 3. 2 × +17. × + 7 = 3 2 3(×+7)=2(×+17). 3×+21=2×+34. 3×-2×+21-34=0. X-13=0. x=13. The rational number will be. = ××+8. =1313+8. Rational number=13/21