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 obtain is3/2 find the rational number
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Answer:
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Step-by-step explanation:
Let the numerator be x
and denominator = x + 8
now,
numerator = x + 17
denominator = x + 8 -1
= x + 7
a/q,
= x + 17/x + 7. = 3/2
= 2(x + 17) = 3(x + 7)
= 2x + 34 = 3x + 21
= 3x - 2x. = 34 - 21
= x. = 13
hence, numerator = x = 13
denominator = x + 8 = 13 + 8. = 21
so, rational number = 13/21
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