the numerator of a rational number is less than its denominator by 6 if one is added to both numerator and denominator the new number becomes 1/2 find the original number
Answers
Answer:
Let the numerator be x
and the denominator be y
A/q
x - 6 = y
=> x = y + 6 .......(1)
Again,
(x+1 - 6)/(y + 1) = 1/2
=> (x - 5)/(y+1) = 1/2
=> 2x - 10 = y + 1
=> y = 2x - 10 -1
=> y = 2(y + 6) - 10 - 1 ....... {from (1)}
=> y = 2y + 12 - 11
=> y - 2y = 1
=> - y = 1
=> y = -1
Now
From eq. (1)
x = y + 6
x = -1 + 6
x = 5
Hence the fraction = x/y
= 5/-1
= -5/1
Therefore,
Numerator = -5
Denominator = 1
The numerator of a rational number is less than its denominator by 6 if one is added to both numerator and denominator the new number becomes 1/2.Find the original number.
Let the denominator be x.Therefore,the numerator will be x-6.
Therefore the original fraction is .
According to the question the equation formed will be
Original Fraction
Therefore the original fraction is 5/11.