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Kim, Betty, and Sarah are cousins. Kim is 4 times as old as Sarah and Betty is 3 years older than Kim. The sum of all their ages is 75.  Find the ages of each of the girls.

 Mar 31, 2020
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Let  Sarah's age  = A

Let  Kim's  age  = 4A

Let Betty's  age  =  4A  + 3

 

So

 

A  +  4A  +  4A  +  3   = 75

 

9A  +  3  = 75      subtract  3  from both sides

 

9A   = 72       divide  both sides  by  9

 

A  = 8   =   Sarah's age

 

4(A)  = 4(8)  = 32  =  Kim's age

 

4(A) + 3  = 32  + 3  =  35  =  Betty's age

 

 

 

cool cool cool

 Mar 31, 2020

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