Solving Age Riddles with Equations

The video presents an 18th-century riddle about determining a son's age. The riddle states that if you take the son's age, add it to itself and half of itself, the result is 10. The video guides viewers to solve this using an equation where X represents the son's age. By setting up the equation X + X + 0.5X = 10, the video demonstrates how to combine like terms and solve for X, ultimately revealing that the son is 4 years old.

What is the main question posed in the 18th-century riddle?

• What is the difference in their ages?

• How old is the son?

• How old is the father?

• What is the sum of their ages?

What variable is used to represent the son's age in the equation?

• A

• Y

• Z

• X

What is the equation formed to solve the riddle?

• X + 2X = 10

• X + X + 1/2 = 10

• X + 1/2X = 10

• X + X + 1/2X = 10

What is the first step in solving the equation for X?

• Divide both sides by 5

• Combine like terms

• Multiply both sides by 2

• Subtract 10 from both sides

What is the final age of the son after solving the equation?

• 4 years old

• 6 years old

• 3 years old

• 5 years old