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 obtained is 3/2. Find the rational number. About the author Elliana
Answer: an swer: 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 xx+8 According to the given condition, x+17x+8−1=32 x+17x+7=32 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 = xx+8 = 1313+8 Rational number = 13/21 Reply
Answer:
an swer:
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 xx+8
According to the given condition,
x+17x+8−1=32
x+17x+7=32
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
= xx+8
= 1313+8
Rational number = 13/21