Answer:
1. 18
2. 32
Step-by-step explanation:
1. xy is the digit
Remember x is the 10 digit so we multiply it by 10
2(x+y) = x *10 +y
Distribute
2x+2y = 10x+y
Subtract y from each side
2x +2y -y = 10x +y - y
2x+y = 10x
Subtract 2x from each side
2x+y -2x = 10x-2x
y = 8x
Since these are digits x must be 1 or y would be bigger than a digit
Then y =8
Our two digit number is 18
2. 1. xy is the digit
Remember x is the 10 digit so we multiply it by 10
10x +y =xy+26
Subtract xy from each side
10x -xy + y = 26
Factor out an -y
10x -y(x-1) = 26
X must be bigger than 2 or we cannot get 26
Let x=3
30 -y(3-1) =26
30 -2y = 26
Subtract 30 from each side
-2y = -4
Divide by -2
y=2
The number is 32
