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?

Question

Jazmine

Mathematics

2 February, 15:59

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?

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Answers (2)

Know the Answer?

Layla Case · Answer 1

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

Elyse Bennett · Answer 2

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.