The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 more than the original number. Find the original number.

I hate silly word problems like this, please help me out.

is it 36????

It fits the information. Yes!

The sum of the digit of a two digit number is 7. The number with the digit is reverse order is 3 less than 4 times the original number.Find the original number

I understand that word problems can be frustrating, but let me guide you through the steps to solve this problem.

Let's start by breaking down the given information:

1. The sum of the digits of a two-digit number is 9.
2. If the digits are reversed, the new number is 27 more than the original number.

To solve this problem, we need to set up a system of equations. Let's use "x" to represent the tens digit and "y" to represent the ones digit of the original number.

From the first piece of information, we can write the equation:

x + y = 9 (Equation 1)

Now, from the second piece of information, we know that if the digits are reversed, the new number is 27 more than the original number. This can be expressed mathematically as:

10y + x = 10x + y + 27 (Equation 2)

Now that we have our system of equations, we can solve for the values of x and y by solving the system simultaneously.

To do this, we can start by simplifying Equation 2:

9y - 9x = 27 (Equation 3)

From Equation 3, we can see that y - x = 3.

Next, we can solve Equation 1 for y in terms of x:

y = 9 - x

Now, we substitute this value of y into the equation y - x = 3:

9 - x - x = 3

Simplifying further:

9 - 2x = 3

Now, we can solve this equation for x:

-2x = 3 - 9

-2x = -6

Dividing both sides by -2:

x = 3

Now that we have the value of x, we can substitute it back into Equation 1 to find y:

3 + y = 9

y = 9 - 3

y = 6

Therefore, the original number is 36.

I hope this explanation helps you understand how to solve this type of word problem!