SOLUTION: If the digits of a three-digit number are reversed in order, then the sum of the new resulting number and the original number comes out to be 665. The difference of the two numbe

Algebra.Com
Question 1058200: If the digits of a three-digit number are reversed in order, then the sum of the
new resulting number and the original number comes out to be 665. The difference of
the two numbers is 297. The tens’ digit place is two times the hundreds’ place digit.
What is the number?

Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

This one surprised me a little bit. I thought I'd need a lot of information given but as I wrote the facts down, it became apparent that the only two pieces of information needed are the sum and differences:
Call the three digit number x
and the reversed number y
(1)
(2)
Add (1) to (2) to get:




Ans: x=481

Check:
We were told the 10's digit is twice the one-hundreds digit. 8 = 4*2 (ok)
Also:
481 - 184 = 297
481 + 184 = 665

RELATED QUESTIONS

The sum of the digits of a three-digit number is 15. If the digits are reversed the... (answered by Fombitz)
The sum of the digits of a three-digit number is 9. The tens digit is 3 times the... (answered by josgarithmetic)
The sum of the digits of a three-digit number is 6. If the hundreds and tens are... (answered by Edwin McCravy)
The value of a certain two-digit number is 9 times the sum of its digits. If the digits... (answered by josmiceli)
A two digit number and the resulting number when the digits are reversed are in the... (answered by ankor@dixie-net.com,lwsshak3)
The value of the ones digit of a three-digit number is the sum of the hundreds and and... (answered by josgarithmetic,greenestamps)
the sum of the digits of a three-digit number is 17. if the digits are reversed and the... (answered by josgarithmetic,MathTherapy)
the sum of the digits of a two-digit number is 6. if the digits are reversed, the new... (answered by user_dude2008)
The sum of a two-digit number is 13. If the digits are reversed, the new number is 9 more (answered by edjones)