the denominator of a rational number is greater than its numerator by 8 if the numerator is increased by 17 and denominator is decreased by one the number obtained is 3 / 2 find the rational number
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the denominator of a rational number is greater than its numerator by 8 if the numerator is increased by 17 and denominator is decreased by one the number obtained is 3 / 2 find the rational number
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Denominator = a + 8
According to question,
( a + 17) / ( a + 8 - 1) = 3 /2
=> (a + 17) / (a +7) = 3 /2
=> 2a + 34 = 3a + 21
=> 3 a - 2a = 34 - 21
=> a = 13
Numerator = 13
Denominator = 13 + 8 = 21
Required number = 13 /21