chris is 4 times the age of peter. sara is 6 years less than chris. the total age of chris, peter, and sara has 66 years. how many years is Sara?

Expert Answers
baxthum8 eNotes educator| Certified Educator

Let Peter's age be represente by the variable "x".

Since Chris is four times the age of Peter, Chris' age can be represented by "4x".

Sara is 6 years less than Chris, therefore "4x - 6" can represent Sara's age.

Together their ages total 66 years.

`(x) + (4x) + (4x - 6) = 66`

`9x - 6 = 66`

`9x = 72`

`x = 8`

This means that Peter is 8 years old, Chris is 32 years old, and Sara is 6 years younger, or 26 years old.

tonys538 | Student

Chris is 4 times the age of Peter. Sara is 6 years less than Chris. the total age of Chris, peter, and Sara has 66 years.

Let Sara's age be represented by x.

Sara's age is 6 years less than Chris. Chris' age in terms of x is x + 6.

Chris is 4 times the age of Peter. Peter's age in terms of x is (x + 6)/4

Now the sum of their ages is : x + x + 6 + (x + 6)/4 = 66

2x + 6 + (x + 6)/4 = 66

2x + (x + 6)/4 = 60

8x + x + 6 = 240

9x = 234

x = 234/9

x = 26

Sara's age is 26.