1. ## 6th Grade word problem

My son dumped this one on me and I haven't a clue and my husband isn't home to help.

"Artie placed a "5" at the right hand end (unit's place) of a 3-digit number. That increased the value of the number by 3074. What was the original number?"

Thanks in advance for any help..

2. Originally Posted by mnC5
My son dumped this one on me and I haven't a clue and my husband isn't home to help.

"Artie placed a "5" at the right hand end (unit's place) of a 3-digit number. That increased the value of the number by 3074. What was the original number?"

Thanks in advance for any help..
You have a 3 digit number. So there are 1's , 10's, and 100's.

Let x;y;z denote integer placeholders.

(1000x + 100y + 10z + 5) - (100x + 10y + z) = 3074

10(100x + 10y + z) - (100x + 10y + z) = 3074 - 5

9(100x + 10y + z) = 3069

(100x + 10y + z) = 341

So our original number was 341.

Artie concatenated a 5 which made it 3415

The difference between 3415 and 341 must give us 3074, and it does, so we have solved the problem

3. LOL, so well put I understood it.

4. Originally Posted by mnC5
LOL, so well put I understood it.