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?

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baxthum8's profile pic

baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted on

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's profile pic

tonys538 | Student, Undergraduate | (Level 1) Valedictorian

Posted on

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.

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