SOLUTION: My tens' digit is twice my hundreds digit. My one's digit is 3 more than my tens' digit. My ones digit is the sum of my hundreds and tens' digit. What 3 digit number am i?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: My tens' digit is twice my hundreds digit. My one's digit is 3 more than my tens' digit. My ones digit is the sum of my hundreds and tens' digit. What 3 digit number am i?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 512420: My tens' digit is twice my hundreds digit. My one's digit is 3 more than my tens' digit. My ones digit is the sum of my hundreds and tens' digit. What 3 digit number am i?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the ones digit c
Call the tens digit b
Call the hundreds digit a
given:
(1) +b+=+2a+
(2) +c+=+b+%2B+3+
(3) +c+=+b+%2B+a+
------------
Substitute (2) into (3)
(3) +b+%2B+3+=+b+%2B+a+
Subtract b from both sides
(3) +a+=+3+
and
(1) +b+=+2a+
(1) +b+=+6+
and
(3) +c+=+b+%2B+a+
(3) +c+=+6+%2B+3+
(3) +c+=+9+
The number is 369