The denominator of a rational number is greater than its numerator by 8 .jf the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2 . Find the rational number
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Answer
- Let the numerator of the rational number be x
- Denominator = x + 8
☞Rational number =x / x+8
- Given,
☞ x + 17 / x + 8 - 1 = 3 / 2
☞ 2x + 34 = 3x + 21
☞ 34 - 21 = 3x - 2x
☞ 13 = x
☞ x = 13
➜Therefore,
13 / 13 + 8 = 13 / 21
Answered by
1
(｡◕‿◕｡)
Answer
Let the numerator of the rational number be x
Denominator = x + 8
☞Rational number =x / x+8
Given,
☞ x + 17 / x + 8 - 1 = 3 / 2
☞ 2x + 34 = 3x + 21
☞ 34 - 21 = 3x - 2x
☞ 13 = x
☞ x = 13
➜Therefore,
13 / 13 + 8 = 13 / 21
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