SOLUTION: Find three 3 digit numbers using the digits 1-9 only once each so that the number in row two is twice the number in row one and the number in row three is three times the number in

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Question 374419: Find three 3 digit numbers using the digits 1-9 only once each so that the number in row two is twice the number in row one and the number in row three is three times the number in row one. There may be additional solutions
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Find three 3 digit numbers using the digits 1-9 only once each
so that the number in row two is twice the number in row one
and the number in row three is three times the number in row one.
There may be additional solutions
:
Let the 3 digit number = x, y, z
:
"the number in row two is twice the number in row one"
y = 2x
:
"the number in row three is three times the number in row one."
z = 3x
:
We know x < 4, try 3
then
y = 2(3) = 6
z = 3(3) = 9
:
The number: 369
:
If x = 2, then 246
:
If x = 1, then 123