Question

If $a\ast b$ denotes the larger of ${}^{\prime }{a}^{\prime }$ and ${}^{\prime }{b}^{\prime }$ and if $aob=(a\ast b)+3,$ then write the value of $(5$ $o$ $10),$ where $\ast$ and $o$ are binary operations.

Answer 1

Given that $a\ast b$ denotes "Larger of $a$ and $b$" and $\left(5o10\right)=(5\ast 10)+3$.

Here we need to find $\left(5o10\right)$

Clearly $10>5$

Therefore, $5\ast 10=10$

Now,

$\left(5o10\right)=(5\ast 10)+3$

$\left(5o10\right)=10+3$

$\left(5o10\right)=13$

Therefore answer is $13$.