The numerator of a rational number is less than its denominator by 3 if the numerator becomes three times and the denominator is increased by 20 the new number becomes 1by8 find the original number
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Answered by
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Let the denominator be x,then numerator will be x-3
so,the fraction is x/(x+3)
Now,
Acccording to question
3x/(x+3+20) =1/8
24x/(x+23) =1
24x=x+23
x=23
so, numerator=23
denominator=x+3=23+3=26
so, fraction is,23/26
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Answer:
Step-by-step explanation:
Let the denominator be x,then numerator will be x-3
so,the fraction is x/(x+3)
Now,
Acccording to question
3x/(x+3+20) =1/8
24x/(x+23) =1
24x=x+23
x=23
so, numerator=23
denominator=x+3=23+3=26
so, fraction is,23/26
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