# When you subtract a 2-digit number from a 3-digit number, the difference is 473. What are the numbers?

##### 2 Answers

Nov 21, 2016

#### Explanation:

The initial number is a 3-digit number,

Therefore,

#x - y = 473#

Plug in any two digit number for

#x - 33 = 473#

#x = 473 + 33#

#x = 506#

As you can see, you can use a multitude of different numbers, as long as they satisfy the requirements.

Nov 21, 2016

Assuming that the 2-digit number is positive, there are 90 possible pairs of numbers.

#### Explanation:

The positive 2-digit numbers are

he 3-digit number must be

**If a negative 2-digit number is allowed**, then there are 90 **more** pairs

2-digit:

3-digit: