the denominator of a rational number a greater than its numbetator by 8.if the numbetator is in-creased by 17.and the denominator is creased by 1 the number obtained is 3/2 find rational number
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ANSWER -:
The rational number is 13 /21
___________________________
EXPLANATION-:
Let ‘s the numerator of the rational
number be p
Then ,
The denominator is p+8
Rational number = p / p+ 8
According To question ,
If the numerator is increased by 17
then it becomes p + 17
Denominator is decreased by 1, then it
p + 8 - 1 = p+7
New rational formed = p+17/ p+ 7 = 3/2
⇒2p+34=3p+21
⇒p=13
Then ,
Numerator is 13.
Denominator is p+8=13+8=21
Therefore ,
The rational number is 13 /21
_____________________________
Rational number -:
A number which is in form of p/q and p
and q both are integers and q is not is
equal to zero it is known as Rational
number.
Example -: 1/2 ,3/4 etc.
_______________________________
The rational number is 13 /21
___________________________
EXPLANATION-:
Let ‘s the numerator of the rational
number be p
Then ,
The denominator is p+8
Rational number = p / p+ 8
According To question ,
If the numerator is increased by 17
then it becomes p + 17
Denominator is decreased by 1, then it
p + 8 - 1 = p+7
New rational formed = p+17/ p+ 7 = 3/2
⇒2p+34=3p+21
⇒p=13
Then ,
Numerator is 13.
Denominator is p+8=13+8=21
Therefore ,
The rational number is 13 /21
_____________________________
Rational number -:
A number which is in form of p/q and p
and q both are integers and q is not is
equal to zero it is known as Rational
number.
Example -: 1/2 ,3/4 etc.
_______________________________
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