SOLUTION: Solve the problem by using systems of 2 equations in 2 variables: Ben is 3 years younger than Dan. The sum of their ages is 53. How old is each?

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Question 604534: Solve the problem by using systems of 2 equations in 2 variables: Ben is 3 years younger than Dan. The sum of their ages is 53. How old is each?
Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
Ben's age = B
Dan's age = D

B = D - 3
B + D = 53
substitute the first equation into the second equation:
D - 3 + D = 53
2D - 3 = 53
2D = 53 + 3
2D = 56
D = 56/2 = 28
B = D - 3 = 28 - 3 = 25

so, Ben is 25 years old and Dan is 28 years old