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
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new resulting number and the original number comes out to be 665. The difference of
the two numbe
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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
