SOLUTION: a three digit number is 28 times the sum of its digits. the units digit is twice the tens digit and 3 more than the hundreds digit. Find the number

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: a three digit number is 28 times the sum of its digits. the units digit is twice the tens digit and 3 more than the hundreds digit. Find the number      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 67918This question is from textbook prentice hall Algebra 1
: a three digit number is 28 times the sum of its digits. the units digit is twice the tens digit and 3 more than the hundreds digit. Find the number This question is from textbook prentice hall Algebra 1

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
a three digit number is 28 times the sum of its digits. the units digit is twice the tens digit and 3 more than the hundreds digit. Find the number
Let x=units digit
x/2=tens digit
x-3=hundreths digit
We know that the number would be: 100(x-3)+10(x/2)+x
Now we are told that 28 times the sum of the digits is equal to the number. So:
28(x+x/2+(x-3))=100(x-3)+10(x/2)+x clear parens
28x+14x+28x-84=100x-300+5x+x collect like terms
70x-84=106x-300 continue simplifying
-106x+70x=-300+84
-36x=-216
x=6--------------------------unit digit
x/2=6/2=3------------------------tens digit
x-3=6-3=3------------------------hundreths digit
THE NUMBER IS: 336--------------------------ANSWER
ck
28(6+3+3)=336
28(12)=336
336=336

Hope this helps-----Ptaylor