Alphie7250 Alphie7250
  • 20-05-2018
  • Mathematics
contestada

Derek is four times as old as sarah. two years ago the sum of their ages was 36. how old is each now?

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cdw2014
cdw2014 cdw2014
  • 20-05-2018
Let's write a system of equations. We will use D for Derek's age and S for Sarah's age:

D = 4S

(D - 2) + (S - 2) = 36

We can simplify the second equation:

D + S - 4 = 36

D + S = 40

Now we can use substitution to plug 4S in for D in the second equation:

(4S) + S = 40

5S = 40

S = 8

Sarah is 8 years old.
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