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
Solution:
Let the numerator of the rational number be x.
Therefore, its denominator will be x + 8.
The rational number will be x / x + 8.
Thus, according to the question we get
(x + 17) / (x + 8 - 1) = 3/2
(x + 17) / (x + 7) = 3/2
Cross-multiplying, we get
2(x + 17) = 3(x + 7)
2x + 34 = 3x + 21
34 - 21 = 3x - 2x
13 = x,
Hence x + 8 = 21
Thus, the numerator is 13 and the denominator = 21
Therefore, the rational number is equal to 13/21
☛ Check: Class 8 Maths NCERT Solutions Chapter 2
Video Solution:
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.
NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.6 Question 7
Summary:
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. The rational number so obtained is 13/21.
☛ Related Questions:
visual curriculum