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Derek is twice as old as Sarah. Two years ago the sum of their age was 20. How old is each now?

1 Answer

3 votes

Answer:

Derek is currently 18 and Sarah is 8

Explanation:

20=(x-2)

-2 because it was 2 years ago

20=(x-2) + (2x-2)

2x because Derek is twice as old as Sarah

20=(x-2) + (2x-2) can be changed to

20= 3x - 4 when you combine like terms.

24 = 3x you divide by 3 and you get 8=x

You plug in the number and you get the answer

20=(8-2) + (2*8 - 2) which can be transferred to

20= 6 + 14

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