The numeratos of a rational us 3 les
than the denominator of the numeratos
is increased by & if the denominatos
increased by in a we get the same
number find the number
Answers
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Step-by-step explanation:
Let the denominator be x.
Thus, numerator will be x−3.
As per the question, we have
numerator is 3 times i.e., 3(x−3) and denominator is increased by 20 i.e., x+20.
The new number thus formed is
8
1
.
Therefore,
x+20
3(x−3)
=
8
1
⇒24(x−3)=1(x+20)
⇒24x−72=x+20
⇒23x=92
⇒x=4
Denominator is 4.
Thus, numerator is x−3=4−3=1
Therefore, the fraction is
4
1
.
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