anonymous
  • anonymous
One number is 9 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 1035, find the numbers.
Mathematics
schrodinger
  • schrodinger
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welshfella
  • welshfella
let first number = x then second number = 9x third number = x + 100 so add these 3 expressions and equate them to 1035
welshfella
  • welshfella
then solve this equation for x
anonymous
  • anonymous
so add them together equal to 1035?

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welshfella
  • welshfella
add the 3 expressions x + 9x + x + 100 and this equals 1035 so we have x + 9x + x + 100 = 1035
anonymous
  • anonymous
X = -100/11
welshfella
  • welshfella
?? what does x + 9x + x + 100 come to? remember you can only add LIKE TERMS
anonymous
  • anonymous
11x+100?
welshfella
  • welshfella
yes and this equals 1035 so we have 11x + 100 = 1035
anonymous
  • anonymous
so X=85?
welshfella
  • welshfella
right so you just work out the other 2 numbers by plugging x = 85 into 9x and x=85 into x + 100
anonymous
  • anonymous
Thanks! I think i understand now! so that means that the numbers are 85, 738, and 185?
welshfella
  • welshfella
well 185 is right but try 9*85 again
anonymous
  • anonymous
765** Would i put them in any order?
welshfella
  • welshfella
no any order and you can check to see if they are right by adding them up . They should total 1035.
anonymous
  • anonymous
they do. Thanks for the help!
welshfella
  • welshfella
in fact they do.
welshfella
  • welshfella
yw

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