+977 Sophie's favorite (positive) number is a two-digit number. If she reverses the digits, the result is 72 less than her favorite number. Also, one digit is 1 less than double the other digit. What is Sophie's favorite number?
+1952 Let's write an equation to solve this pronlem.
First off, let's let x be the tens digit and the other be y.
From the first of the problem, we have the equation
10x+y=10y+x+72
From the second part of the problem, we have the equation
Solving this system, we get that
This equation cannot be satisfied.
From the first equation, we have that
There are only two possibilities. One is where x is 9 and y is 1, so we have 91.
The other possibility is x is 8 and y is 0.
Neither of these satisfy the conditions given.
Thanks! :)
+1952 Let's write an equation to solve this pronlem.
First off, let's let x be the tens digit and the other be y.
From the first of the problem, we have the equation
From the second part of the problem, we have the equation
Solving this system, we get that
This equation cannot be satisfied.
From the first equation, we have that
There are only two possibilities. One is where x is 9 and y is 1, so we have 91.
The other possibility is x is 8 and y is 0.
Neither of these satisfy the conditions given.
Thanks! :)
