The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1. The number numerator obtained is 3/2. Find the rational number.
Answers
Answered by
50
Answer:
13/21
Step-by-step explanation:
- Numerator = x
- Denominator = x+ 8
x/x+8
- If the numerator is increased by 17
x + 17
- The denominator is decreased by 1
x + 8 - 1
x+17/x+7 = 3/2
- Cross multiplication used now
3(x + 7) = 2(x + 17)
3x + 21 = 2x + 34
3x - 2x = 34 - 21
x = 13
x/x + 8 = 13/13 + 8
13/21
Answered by
15
Answer:
Numerator of the rational number = x = 13
Denominator of the rational number = x + 8 = 13 + 8 = 21
Rational number = 13/21
Step-by-step explanation:
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 cndition,
x + 17/x + 8 – 1 = 3/2
=x + 17/x + 7 = 3/2
=2(x + 17) = 3(x + 7)
=2x + 34 = 3x + 21
=34 − 21 = 3x − 2x
=x=13
Numerator of the rational number = x = 13
Denominator of the rational number = x + 8 = 13 + 8 = 21
Rational number = 13/21
Similar questions