Age Relationships and Equations

This video tutorial focuses on solving age-related word problems using algebraic equations. It covers multiple examples, including Sally and John, Kim and Timothy, Leah and Rachel, Becca, Susan, and Greg, Lauren, Andrew, and Sam, and Gabby, Larry, and Megan. Each example demonstrates how to set up equations based on given conditions and solve for unknown ages using substitution and elimination methods. The tutorial emphasizes understanding the relationship between present, past, and future ages to find solutions.

If Sally is currently three times as old as John, and in eight years she will be twice as old, how old is John now?

• 10 years

• 6 years

• 12 years

• 8 years

In the problem involving Sally and John, what is the equation for Sally's age in the future?

• S = J + 8

• S = 3J

• S + 8 = 2(J + 8)

• S + 8 = J + 8

Kim is six years more than twice Timothy's age. If two years ago Kim was three times Timothy's age, how old was Kim two years ago?

• 26 years

• 24 years

• 22 years

• 20 years

In the problem involving Kim and Timothy, what is the equation for Kim's age two years ago?

• K = T + 6

• K - 2 = T - 2

• K - 2 = 3(T - 2)

• K = 2T + 6

Leah is two less than three times Rachel's age. If three years from now Leah will be seven more than twice Rachel's age, how old is Rachel now?

• 10 years

• 12 years

• 14 years

• 16 years

In the problem involving Leah and Rachel, what is the equation for Leah's age in the future?

• L = 3R - 2

• L + 3 = R + 3

• L = R - 2

• L + 3 = 7 + 2(R + 3)

Becca is twice as old as Susan, and Greg is nine years older than Susan. How old is Greg now if three years ago Becca was nine less than three times Susan's age?

• 20 years

• 22 years

• 24 years

• 26 years

In the problem involving Susan, Becca, and Greg, what is the equation for Becca's age three years ago?

• B - 3 = S - 3

• B = S + 9

• B = 2S

• B - 3 = 3(S - 3) - 9

Lauren is three less than twice Andrew's age. If four years from now Sam will be two more than twice Andrew's age, how old was Lauren five years ago?

• 24 years

• 22 years

• 20 years

• 26 years

In the problem involving Lauren, Andrew, and Sam, what is the equation for Sam's age five years ago?

• S = A + 3

• S - 5 = A - 5

• S = 2A + 3

• S - 5 = 3(A - 5)