SOLUTION: Ed and Carl are brothers. The sum of their ages and their father's age is 61 years. Ed is 5 years older than Carl and their father is 6 times as old as Carl. How old is Carl?

Question 1151469: Ed and Carl are brothers. The sum of their ages and their father's age is 61 years. Ed is 5 years older than Carl and their father is 6 times as old as Carl. How old is Carl?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

E = Ed's current age
C = Carl's current age
F = their father's current age

"Ed is 5 years older than Carl", so,
E = C+5

"Their father is 6 times as old as Carl", so,
F = 6*C

We will use those two equations in the next upcoming equation.

"The sum of their (Ed and Carl) ages and their father's age is 61 years", so,
E+C+F = 61
C+5+C+F = 61 ..... plug in E = C+5
C+5+C+6C = 61 .... plug in F = 6C
8C+5 = 61
8C+5-5 = 61-5 .... subtract 5 from both sides
8C = 56
8C/8 = 56/8 ...... divide both sides by 8
C = 7
Carl is currently 7 years old.

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Extra info:

Once we know how old Carl currently is, we can use his age to find the other two current ages.

E = C+5
E = 7+5
E = 12
Ed is currently 12 years old.

F = 6*C
F = 6*7
F = 42
Their father is currently 42 years old.

Check:
E+C+F = 7+12+42 = 19+42 = 61
So the answer checks out.

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