The question is: put one of $1,2,3,4,5,6,7,8,9$ in one position below, to obtain $100$
$$\large\overline{\square\square}+\overline{\square\square}+\overline{\square\square}=100$$his mean fint
This mean to find three,two digit number with sum of 100.
I can find by guess and exam some of the possible answer like below
$$45+37+18=100\\
46+35+19=100\\65+23+12=100
$$ But I am looking for a $\large\text {method}$ to solve the equation.
AS a second question, how to find all the possibilities? (when do not repeat any number)
Thanks in advance for any help.
2026-05-03 18:27:35.1777832855
Method to solve an equation
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We need to solve
$$(10a+b)+(10c+d)+(10e+f)=100 \implies 10(a+c+e)+b+d+f=100$$
and we have two cases