The numerator of a rational number is 3 less than its denominator . If numerator becomes three times and 19 is added to the denominator , the new number become 1/4. find the original number
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Step-by-step explanation:
Let the numerator of the rational number be x.
Then, the denominator of the rational number =x+3
According to the given condition,
New numerator =3x and new denominator =(x+3)+20=x+23
Given,
x+23
3x
=
8
1
By cross multiplying, we get
8(3x)=x+23
⇒24x=x+23
⇒23x=23 ....[On Transposing]
or x=1
Therefore, numerator of the rational number =1 and denominator =1+3=4.
Hence, the original rational number is
4
1
.
Sorry for typing error
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