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7. 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
3
obtained is
2
Find the rational number.
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answer is eight
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Step-by-step explanation:
let the numerator be x
then the denominator be x+8
on increaseing numerator by 17
= x+17
on decreasing denominator by 1
= x+7
a/q
x+17/x+7= 3/2
2(x+17)=3(x+7)
2x+34=3x+21
x= 13
hence numerator is 13
denominator is 13+8=21
fraction is 13/21
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