SOLUTION: 1. A number consist of 2 digits whose is 11. If the digits are interchanged,the value of the number decrease by 20sq.m. Find the length and breadth of the room. 2. If the numerato

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 1. A number consist of 2 digits whose is 11. If the digits are interchanged,the value of the number decrease by 20sq.m. Find the length and breadth of the room. 2. If the numerato      Log On


   



Question 198533: 1. A number consist of 2 digits whose is 11. If the digits are interchanged,the value of the number decrease by 20sq.m. Find the length and breadth of the room.
2. If the numerator of a fraction is decreased by 1 its value becomes 2/3, but if the denominator is increased by 5, the value becomes 1/2 . what is the fraction.

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
I can't understand question 1.
.
2)
Let n=numerator and d=denominator
(n-1)/d=2/3
3(n-1)=2d multiply each side by 3d
3n-3=2d
3n-2d=3
.
n/(d+5)=1/2
2n=d+5 multiply each side by 2(d+5)
2n-d=5
-4n+2d=-10 multiply each side by -2
.
3n -2d = 3
-4n+2d=-10
-----------------add
-n=-7
.
n=7
.
21-2d=3
-2d=-18
d=9
.
7/9 is the fraction.
.
Ed