Liquids A and B are at 30 ^ o C and 20 ^ o C , respectively. When...

Liquids $A$ and $B$ are at $\text{30}{}^{o} \text{C}$ and $\text{20}{}^{o} \text{C}$, respectively. When mixed in equal masses, the temperature of the mixture is found to be $\text{26}{}^{o} \text{C}$, The specific heats of $A$ and $B$ are in the ratio of $m: n$, where $m$ and $n$ are integers, then find minimum value of $m + n$.