SOLUTION: the sume of a three-digit number is 11. The tens digit is three times the hundreds digit and two times the units digit. find the number.

Question 712674: the sume of a three-digit number is 11. The tens digit is three times the hundreds digit and two times the units digit. find the number.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the hundreds digit
Let = the tens digit
Let = the units digit
given:
(1)
(2)
(3)
-------------
(2)
(3)
Substitute (2) and (3) into (1)
(1)
(1)
Multiply both sides by
(1)
(1)
(1)
and
(2)
(2)
(2)
and
(3)
(3)
(3)
--------------
The number is 263

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