The denominator of a rational no. is greater than its numerator by 8. If the numerator is increased by 17and the denominator is decreased by 1 ,the no. obtained is 3/5.Find the rational no.
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Answered by
3
Given,
x/(x+8) = Rational no.
Also,
(x + 17)/ ( x + 8 - 1) = 3/5
so,
5(x + 17) = 3(x + 7)
Solving,
2x = -64
so, x is -32....
Hence, the rational number is
-32/{8 + (-32)}
= -32/-24
= 4/3
Hope this helps....
x/(x+8) = Rational no.
Also,
(x + 17)/ ( x + 8 - 1) = 3/5
so,
5(x + 17) = 3(x + 7)
Solving,
2x = -64
so, x is -32....
Hence, the rational number is
-32/{8 + (-32)}
= -32/-24
= 4/3
Hope this helps....
wajid85:
thank you sir for ur answer
Answered by
1
let the numerator be x then denominator will be x+8 and the fraction obtained will be x/x+8 now increase the numerator and denominator by 17 so, x+17/x+8+17=x+17/x+25
X+17/x+25=3/5
then,5x+85=3x+75
5x-3x=-10
x=-5
the rational no. is
x/x+8=-5/3
X+17/x+25=3/5
then,5x+85=3x+75
5x-3x=-10
x=-5
the rational no. is
x/x+8=-5/3
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