SOLUTION: A three digit number is equal to 17 times the sums of the digits . If 198 is added to the number, the extreme digits get interchanged . The sums of the first and third digits is 1
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Question 1067202: A three digit number is equal to 17 times the sums of the digits . If 198 is added to the number, the extreme digits get interchanged . The sums of the first and third digits is 1 less than the middle digit. Find the number.
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
t,h,u, for tens hundreds ones
, the number
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Revised system of equations:
Substitute using t=h+u+1 into the first equation.
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Simpler system in two variables,
-------the Hundreds place
Again using the simpler system
--------the Ones place
Returning to the Revised System equation of t=h+u+1
The three digit number is 153.
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