SOLUTION: problem 1.. pls help me the numerator of a fraction is 18 less than the denominator. if 1 is added to the numerator and subtracted from the denominator,the resulting fraction is 2

Algebra ->  Linear-equations -> SOLUTION: problem 1.. pls help me the numerator of a fraction is 18 less than the denominator. if 1 is added to the numerator and subtracted from the denominator,the resulting fraction is 2      Log On


   

Question 914508: problem 1.. pls help me
the numerator of a fraction is 18 less than the denominator. if 1 is added to the numerator and subtracted from the denominator,the resulting fraction is 2/3. find the fraction
problem 2
the sum of the digits of a two-digit number is 13. if the digits are reversed, the resulting number is 9 less than the original number. what is the original number?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
the numerator of a fraction is 18 less than the denominator. if 1 is added to the numerator and subtracted from the denominator,the resulting fraction is 2/3. find the fraction
N= D-18
%28N%2B1%29%2F%28D-1%29+=+2%2F3
substitute N
%28%28D-18%29%2B1%29%2F%28D-1%29+=+2%2F3


%28D-17%29%2F%28D-1%29+=+2%2F3

3(D-17)=2(D-1)
3D-51=2D-2
D=49
N=D-18
N=49-18
N=31
The fraction 31/49



problem 2
the sum of the digits of a two-digit number is 13. if the digits are reversed, the resulting number is 9 less than the original number. what is the original number?
x+y=13.................(1)
10y+x=10x+y-9
9y-9x=-9
y-x=-1............(2)
add (1) & (2)
2y=12
y=6
x+y=13
x=7
Number = 76