Math word problem

Question

Tom is 4 more than twice Andrews age. Sara is 8 less than 5 times Andrews age. Andrews age is represented by x. If Tom and Sara are twins, write an equation to solve to determine Andrews ag

Answer 1

Hi Rebecca,

 

Let's begin by writing expressions for both <S>arah's age and <T>om's age in terms of Andrews age (x):

    T = 2x + 4 (4 more than twice Andrew's age)

    S = 5x - 8 (8 less than five times Andrew's age)

 

Since we are told that Tom and Sarah are twins (the same age), we can equate our expressions for Tom's age and Sarah's age and use that equation to solve for Andrew's age (x):

    Tom's age = Sarah's age 

         2x + 4 = 5x - 8  [equation for Andrew's age]

 

Thanks for submitting this problem and glad to help.

 

God bless, Jordan.