Find the missing number

This makes no sense to me. Can you provide the ENTIRE problem statement?
 
Hello, Sadhu!

\(\displaystyle \text{Find the missing number: }\;\boxed{\begin{array}{ccc}11&7&49 \\ 12&8&54 \\ 15&4&? \end{array}}\)

Obviously, there is an infinite number of solutions.


One of them is: \(\displaystyle \dfrac{117}{2}\)

. . where the rule is:. \(\displaystyle (a,b)\; \to\; \frac{7}{2}a + \frac{3}{2}b\)


Another is: .\(\displaystyle \dfrac{2631}{344}\)

. . where the rule is: .\(\displaystyle (a,b)\:\to\:\frac{245}{344}a^2 - \frac{261}{344}b^2\)

 
Top