Question 3
KenKen is a Japanese arithmetic puzzle. The $5\times5$ grid is divided into cages by thick lines. Each cage is labelled with a target number and an operation.
Examples: $7+$ means the numbers in the cage sum to $7$; $2-$ means the difference of its two numbers is $2$; $2\div$ means the quotient of its two numbers is $2$; $4\times$ means the product of all its numbers is $4$.
Fill the grid with the numbers $1$ to $5$ so that each row and each column contains each number once, and every cage satisfies its label. Find $A+B$.
Examples: $7+$ means the numbers in the cage sum to $7$; $2-$ means the difference of its two numbers is $2$; $2\div$ means the quotient of its two numbers is $2$; $4\times$ means the product of all its numbers is $4$.
Fill the grid with the numbers $1$ to $5$ so that each row and each column contains each number once, and every cage satisfies its label. Find $A+B$.