Let's denote the tens digit as X and the units digit as Y.

Given that the sum of the two digits is 12, we can write this as:

X + Y = 12 ---- (1)

The difference between the two-digit number and the number obtained by interchanging the digits is 18. This can be written as:

10X + Y - (10Y + X) = 18
9X - 9Y = 18
X - Y = 2 ---- (2)

Now we have a system of two equations. We can solve this system to find the values of X and Y.

Adding equation (1) and equation (2) gives:

2X = 14
X = 7

Substituting X = 7 into equation (1) gives:

7 + Y = 12
Y = 5

So, the two digits are 7 and 5.

The product of the two digits is 7 * 5 = 35.

Question

Let's denote the tens digit as X and the units digit as Y.

Given that the sum of the two digits is 12, we can write this as:

X + Y = 12 ---- (1)

The difference between the two-digit number and the number obtained by interchanging the digits is 18. This can be written as:

10X + Y - (10Y + X) = 18
9X - 9Y = 18
X - Y = 2 ---- (2)

Now we have a system of two equations. We can solve this system to find the values of X and Y.

Adding equation (1) and equation (2) gives:

2X = 14
X = 7

Substituting X = 7 into equation (1) gives:

7 + Y = 12
Y = 5

So, the two digits are 7 and 5.

The product of the two digits is 7 * 5 = 35.

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