SOLUTION: What is the mystery number? This three-digit number has a hundreds digit two greater the tens digit, and a ones digit greater than the hundreds digit. The sum of the hundreds and o

Algebra ->  Finance -> SOLUTION: What is the mystery number? This three-digit number has a hundreds digit two greater the tens digit, and a ones digit greater than the hundreds digit. The sum of the hundreds and o      Log On


   



Question 1101663: What is the mystery number? This three-digit number has a hundreds digit two greater the tens digit, and a ones digit greater than the hundreds digit. The sum of the hundreds and ones digit is three times greater than the tens digit.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
h Hundreds
t Tens
u Ones
-
system%28h=t%2B2%2Cu%3Eh%2Ch%2Bu=t%2B3t%29, "...three times greater than the tens digit."

system%28h%2Bu=4t%2Ch=t%2B2%2Cu%3Eh%29

4t-u=t%2B2
3t-u=2
3t=2%2Bu
t=%282%2Bu%29%2F3
Individual digits for u which could work for this last equation:
0, no.
1, yes.
2, no.
3, no.
4, yes.
5, no.
6, no.
7, yes.
8, no.
9, no.
-
The possible TWO-DIGIT part, for the tens & ones, _tu, might be one of:
11, 24, 37


One specified requirement, u>h, units greater than hundreds digit. This means possible tens&units must be from
24, or, 37
.

Determining the hundreds digit:
h%2Bu=4t
h=4t-u
-
If _24, then h=4%2A2-4=8-4=4.
If _37, then h=4%2A3-7=12-7=5.

Specified requirement, u%3Eh.
_24, 4%3E4? No.
_37, 7%3E5? YES.......highlight_green%28h=5%29

---------------------------------
---------------------------------
The mystery number: 537
---------------------------------
---------------------------------