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Let the numerator be x.
Given that denominator of a rational numbers is greater than numerator by 8.
So, denominator will be x + 8.
Therefore, the fraction becomes = (x)/(x + 8). ------ (1)
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Now,
Given that numerator increases by 17. = > x + 17.
Given that denominator decreases by 1. = > x + 7.
Given that the number obtained is 3/2.
= > (x + 17)/x + 7 = (3/2)
= > 2(x + 17) = 3(x + 7)
= > 2x + 34 = 3x + 21
= > -x = -13
= > x = 13.
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Substitute x = 13 in (1), we get
= > The rational number = (13/21).
Hope this helps!
siddhartharao77:
:-)
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