Solving Math Riddles with Equations

In this video tutorial, the instructor solves a math riddle by filling in boxes with values that satisfy given equations. The process involves setting up equations, adding and simplifying them, and solving for variables a, b, c, and d. The tutorial demonstrates how to combine like terms and rearrange equations to find the values of each variable, ultimately solving the riddle.

What is the main objective of the video tutorial?

• To solve a math riddle by filling out boxes

• To explore geometry problems

• To learn about algebraic expressions

• To understand calculus concepts

Which variable is assigned to the first box?

• c

• d

• a

• b

What is the equation formed by the sum of boxes a and b?

• a + b = 12

• a + b = 15

• a + b = 8

• a + b = 10

Which equation represents the sum of boxes a and c?

• a + c = 18

• a + c = 20

• a + c = 17

• a + c = 15

What is the equation for the sum of boxes b and d?

• b + d = 8

• b + d = 15

• b + d = 10

• b + d = 12

What is the equation for the difference between boxes c and d?

• c - d = 8

• c - d = 10

• c - d = 15

• c - d = 12

What is the result of adding all four initial equations?

• a + b + c = 45

• a + b + c = 40

• a + b + c = 49

• a + b + c = 30

What is the value of 'c' after solving the equation?

• 12.5

• 14.5

• 16.5

• 10.5

Which equation was used to find the value of 'c'?

• c - d = 12

• a + c + b = 24.5

• a + b + c = 24.5

• b + d = 10

What is the rearranged equation used to solve for 'b'?

• a + c + b = 20.5

• a + b + c = 20.5

• a + b + c = 24.5

• a + c + b = 24.5