Let's denote the tens digit as "x" and the units digit as "y".

From the problem, we know two things:

1) The sum of the digits is 16. So, we can write this as: x + y = 16

2) The number obtained by interchanging the digits is less than the original number by 18. This means that the original number (10x + y) is 18 more than the number obtained by interchanging the digits (10y + x). We can write this as: 10x + y = 18 + 10y + x

Solving these two equations will give us the values of x and y, which represent the digits of the original number.

Let's simplify the second equation: 10x + y = 18 + 10y + x -- 9x - 9y = 18 -- x - y = 2

Now we have a system of two equations:

x + y = 16
x - y = 2

Adding these two equations together, we get: 2x = 18, so x = 9.

Substituting x = 9 into the first equation, we get: 9 + y = 16, so y = 7.

Therefore, the original number is 97.

Question

Let's denote the tens digit as "x" and the units digit as "y".

From the problem, we know two things:

1) The sum of the digits is 16. So, we can write this as: x + y = 16

2) The number obtained by interchanging the digits is less than the original number by 18. This means that the original number (10x + y) is 18 more than the number obtained by interchanging the digits (10y + x). We can write this as: 10x + y = 18 + 10y + x

Solving these two equations will give us the values of x and y, which represent the digits of the original number.

Let's simplify the second equation: 10x + y = 18 + 10y + x --> 9x - 9y = 18 --> x - y = 2

Now we have a system of two equations:

x + y = 16
x - y = 2

Adding these two equations together, we get: 2x = 18, so x = 9.

Substituting x = 9 into the first equation, we get: 9 + y = 16, so y = 7.

Therefore, the original number is 97.

Knowee AI · Accepted Answer

Let's denote the tens digit as "x" and the units digit as "y".

From the problem, we know two things:

1) The sum of the digits is 16. So, we can write this as: x + y = 16

2) The number obtained by interchanging the digits is less than the original number by 18. This means that the original number (10x + y) is 18 more than the number obtained by interchanging the digits (10y + x). We can write this as: 10x + y = 18 + 10y + x

Solving these two equations will give us the values of x and y, which represent the digits of the original number.

Let's simplify the second equation: 10x + y = 18 + 10y + x --> 9x - 9y = 18 --> x - y = 2

Now we have a system of two equations:

x + y = 16
x - y = 2

Adding these two equations together, we get: 2x = 18, so x = 9.

Substituting x = 9 into the first equation, we get: 9 + y = 16, so y = 7.

Therefore, the original number is 97.

The number obtained by interchanging the two digits of a two-digit number is less than the original number by 18. The sum of the two digits of the number is 16. What is the original number?

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