SOLUTION: Sean's age is 5 years more than twice Doug's age. The sum of their ages is 29. Find each of their ages.

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Question 825000: Sean's age is 5 years more than twice Doug's age. The sum of their ages is 29. Find each of their ages.
Answer by y6n3o9p4(20) About Me  (Show Source):
You can put this solution on YOUR website!
Let S = Sean's age, and D = Doug's age.
Write it out as these equations:
S+=+2D%2B5
S%2BD+=+29
Use the system of elimination to subtract the second equation from the first one and isolate Doug's age.
-D+=+2D-24
D+=+-2D%2B24
3D+=+24
D+=+8
Plug Doug's age into one of the equations.
S%2B8+=+29
S+=+21
Sean's age is 21, and Doug's age is 8.