SOLUTION: The sum of the digits of a three-digit number is 13. The hundreds' digit is two more than the tens' digit, and the tens' digit is four more than the units' digit. Find the number.

Question 713478: The sum of the digits of a three-digit number is 13. The hundreds' digit is two more than the tens' digit, and the tens' digit is four more than the units' digit. Find the number.
Answer by vheroli(126) (Show Source): You can put this solution on YOUR website!
Hundred's digit: x+4+2
Ten's digit: x+4
Unit's digit: x
13= (x+4+2)+(x+4)+(x) : Simplify
13-4-4-2 = x+x+x
3=3x : Divide both sides by 3 to get the value of x
3/3 = 3x/3
1=x
Hundred's digit: x+4+2
=1+4+2
=7
Ten's digit: x+4
= 1+4
= 5
Unit's digit: x =1
Answer: 751

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