I am odd my units digit is greater than my tens digit my tens digit is twice my hundreds digit my units digit is a perfect square

Respuesta :

I'm going to assume this is a 3 digit number because a thousands digit was not mentioned

the number is abc, the a is the digit representing hundreds, b is tens, c is ones or units


odd, so ends with 1,3,5,7, or 9

units is greater than tens digit, c>b

tens is twice my hundreds, 2b=c

units is a perfect square
that is either 1 or 9

hmm, so
if we have 1 as the unit digit
unit is greater than tens
so tens is 0, but how is zero 2 times hundreds?, not possible unless hundres is 0 but that makes no sense

so the unit digit is 9
ok, so the tens can be 1,2,3,4,5,6,7,8
wait, hundreds is half of that so tens must be even, so it has to be 2,4,6,8

the number can be any of the following numbers:
129
249
369
489