Math Word Problem Help - Please include steps.

Question

The sum of the digits of a three-digit number is 10. The units digit is 5. If the order of the number is reversed, the result of the number that is 297 is more than the original number. What is the original number?

 

Please include steps on how to solve, thank you.

Answer 1

Hello Aref,

 

Let's define the number we're looking for as XYZ, where X is the hundreds digit, Y is the tens digit and Z is the one's (units) digit.

 

X + Y + Z = 10

We are told the units digit is 5 so this makes our number XY5 and

X + Y + 5 = 10, so X + Y = 5

 

Also if we reverse the digits we have 5YX and

5YX - XY5 = 297

 

 5YX

-XY5

-----

 297

 

Let's try to solve this.

 

X must be 2 since 7 + 5 = 12

and since X + Y = 5, then Y = 3

 

So the original number is

235

 

Let's check this

 

If we revers it, we have 532

 

Now

532 - 235 = 297 √