Let's solve this step by step:

Step 1: Let's denote the tens digit as "x" and the units digit as "y". According to the problem, the sum of the digits is 11. So, we can write this as:

x + y = 11

Step 2: The problem also states that when the number with the same digits is reversed and subtracted from the original number, the difference is 9. We can write this as:

10x + y - (10y + x) = 9
9x - 9y = 9
x - y = 1

Step 3: Now we have a system of two equations, and we can solve it. From the second equation, we can express x as:

x = y + 1

Step 4: Substitute x in the first equation:

(y + 1) + y = 11
2y + 1 = 11
2y = 10
y = 5

Step 5: Substitute y = 5 in the equation x = y + 1:

x = 5 + 1
x = 6

So, the number is 65.

Question

Let's solve this step by step:

Step 1: Let's denote the tens digit as "x" and the units digit as "y". According to the problem, the sum of the digits is 11. So, we can write this as:

x + y = 11

Step 2: The problem also states that when the number with the same digits is reversed and subtracted from the original number, the difference is 9. We can write this as:

10x + y - (10y + x) = 9
9x - 9y = 9
x - y = 1

Step 3: Now we have a system of two equations, and we can solve it. From the second equation, we can express x as:

x = y + 1

Step 4: Substitute x in the first equation:

(y + 1) + y = 11
2y + 1 = 11
2y = 10
y = 5

Step 5: Substitute y = 5 in the equation x = y + 1:

x = 5 + 1
x = 6

So, the number is 65.

Knowee AI · Accepted Answer