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

2 Answers

#33# and #506#.

Explanation:

The initial number is a 3-digit number, #x#, and the subtracted number is a 2-digit number, #y#.

Therefore,

#x - y = 473#

Plug in any two digit number for #y#, and solve for #x#. I chose #33#, my age.

#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 #10# to #99#. (90 numbers)

he 3-digit number must be

#473+10# to #473+99#

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

2-digit: #-10# #" "# to#" "# #-99# (90 more numbers)

3-digit: #473+(-10)# #" "# to #" "# #473+(-99)#