SOLUTION: my tens digit is two more than my ones digit. my hundreds is 1 more than my tens digit. what numbers can i be?

Question 480839: my tens digit is two more than my ones digit. my hundreds is 1 more than my tens digit. what numbers can i be?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
H = hundreds digit
T = tens digit
O = ones digit
relationships are:
H = T + 1
T = O + 2
O = O
since H = T + 1 and T = O + 2, this means that:
H = (O + 2) + 1 which becomes:
H = O + 3
the relationships become:
H = O + 3
T = O + 2
O = O
based on these relationships, it all depends on the value of O.
O can be any number between 0 and 9.
this means that there are 7 numbers that are possible.
they are:
320
431
542
653
764
875
986
tens digit is equal to the ones digit + 2.
hundreds digit is equal to the tens digit + 1.
ones digits of 7, 8, or 9 do not satisfy the requirements and are therefore not used.

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