Age Relationships and Word Problems

The video tutorial explains how to solve traditional age word problems. It introduces the problem involving William and Ben, where William is four times as old as Ben, and twelve years ago, William was seven times as old. The tutorial guides viewers through setting up the problem using variables, forming an equation, and solving it step-by-step to find Ben's current age. It concludes with calculating William's age based on Ben's age.

Who are the two people involved in the age word problem?

• William and Ben

• William and John

• William and Sam

• Ben and John

How many times older is William compared to Ben in the present?

• 5 times

• 3 times

• 2 times

• 4 times

If Ben's age is represented by X, how would you represent William's age?

• X + 4

• X / 4

• X - 4

• 4X

How would you express Ben's age twelve years ago if his current age is X?

• 12 - X

• 12 + X

• X - 12

• X + 12

What is the relationship between William's and Ben's ages twelve years ago?

• William was 6 times older

• William was 7 times older

• William was 5 times older

• William was 8 times older

What equation is set up to solve the problem based on the given conditions?

• 4X - 12 = X - 12

• 4X - 12 = 7(X - 12)

• X - 12 = 4(X - 12)

• 4X = 7(X - 12)

What is the value of 12 times 7?

• 72

• 84

• 96

• 108

What is the final value of X after solving the equation?

• 22

• 23

• 24

• 25

What is Ben's current age?

• 22 years

• 25 years

• 23 years

• 24 years

What is William's current age if Ben is 24 years old?

• 84 years

• 88 years

• 96 years

• 92 years