The Numerator of a rational number is less than its denominator by 3 if the number become three times and the denominator is increased by 20 the new number becomes 1/8 find the original number
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Answered by
100
Given :-
The Numerator of a rational number is less than its denominator by 3 if the number become three times and the denominator is increased by 20 the new number becomes 1/8
To Find :-
Original number
Solution :-
Let the numeratore be x and denominator will be x + 3
Now
When numerator 3 times and denominator increased by 20
3x/x + 3 + 20 = 1/8
3x/x + 23 = 1/8
8(3x) = 1(x + 23)
24x = x + 23
24x - x = 23
23x = 23
x = 23/23
x = 1
Now, Finding denominator
Denominator = x + 3 = 1 + 3 = 4
Fraction = 1/4
Answered by
206
▪ Given :-
- The Numerator of a rational number is less than its denominator by 3.
- If the number become three times and the denominator is increased by 20 the new number becomes 1/8.
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▪ To Find :-
- The Original Number.
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▪ Solution :-
Let, for the original number:
- Numerator be = x
According to the Given Condition:
- Denominator should be = x + 3
So,
Original Fraction in form of x =
《The number become three times and the denominator is increased by 20》
New Number is of the form
According to the Given Condition ;
Hence,
Original Number =
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