SOLUTION: The sum of 4 times Ben's age and 5 times Neil's age is 128. Neil is 4 years older than Ben is. Find each of their ages

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Question 863018: The sum of 4 times Ben's age and 5 times Neil's age is 128. Neil is 4 years older than Ben is.
Find each of their ages
Answer by ben720(159) About Me  (Show Source):
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Let N = Neil's age
Let N-4 = Ben's age, as neil is 4 years older
4ben%2B5neil=128
4%28n-4%29%2B5n=128
Distribute 4
4n-16%2B5n=128
Combine like terms
9n-16=128
Add 16 to both sides
9n=144
Divide both sides by 9
n=16
Neil is 16 years old, and, since Ben is 4 years younger, Ben is 12.