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i am a 3digit number that is less than 500. My ones digit is twice the hundreds digit. The sum of the three digits is 14. What number am I?
asked
Mar 8, 2015
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i am a 3digit number that is less than 500. My ones digit is twice the hundreds digit. The sum of the three digits is 14. What number am I?
Mathematics
middle-school
Leandro Lima
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Leandro Lima
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ooh fun
so xyz=number
z=2x
x+y+z=14
subsitute z=2x into x+y+z=14
x+y+(2x)=14
3x+y=14
number must be 3 digit and less thaan 500
since the tens digit's max is 9 then
z+x≥14-9
z=2x
3x≥5
x max=5 because 500 is max so
x could be 2,3,4 so
284
356
428
are the numbers
Vincenzo Costa
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Mar 10, 2015
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Vincenzo Costa
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3
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the three possible answers are 428, 356, and 284. All are less than 500, all have a units digit twice the hundreds digit, and all have 14 as a sum of digits.
AppleDash
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Mar 15, 2015
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AppleDash
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