Answered

Solve using the guess-and-check strategy.
Matthew and Elizabeth have a combined age of 19 years. Matthew is 5 years older than Elizabeth. How old is Matthew?

A7
B8
C12
D26

Verified Answer :

The answer is 12. Matthew would be 12 & Elizabeth would be 7. 12+7=19. So C is your answer. 

SherlockdTardis

The simplest way to do this would be to first subtract 5 from the total, because Matthew is going to be five years older than her.

19 - 5 = 14

14 will divide evenly by 2, making them each 7, but since Matthew is 5 years older, and 5 back to 7 to get his age.

7 + 5 = 12.

Matthew is 12 and Elizabeth is 7. Check your work.

12 + 7 = 19

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