# A.2.6.2 Much Ado about Ages

- Author:
- Katie Akesson

Write as many equations as possible that could represent the relationship between the ages of the two children in each family described. Be prepared to explain what each part of your equation represents. a. In Family A, the youngest child is 7 years younger than the oldest, who is 18. b. In Family B, the middle child is 5 years older than the youngest child.

Tyler thinks that the relationship between the ages of the children in Family B can be described with 2*m*-2*y*=10, where *m* is the age of the middle child and *y* the age of the youngest. Explain why Tyler is
right.

Are any of these equations **equivalent** to one another? If so, which ones? Explain your reasoning.
3*a* + 6 = 15
3*a* = 9
*a* + 2 = 5
1/3 *a* = 1