Question 44
For the various values of parameter $m$, where $m$ is a positive integer, determine all pairs of positive integers $(a,b)$ satisfying the equation
$$
\frac{[a,m]+[b,m]}{(a+b)m} = \frac{10}{11}
$$
and lying in the Cartesian plane $Oxy$ in the square
$$
D=\{(x,y):1\le x\le 36, 1\le y\le 36\}.
$$
$$
\frac{[a,m]+[b,m]}{(a+b)m} = \frac{10}{11}
$$
and lying in the Cartesian plane $Oxy$ in the square
$$
D=\{(x,y):1\le x\le 36, 1\le y\le 36\}.
$$