SOLUTION: Hello, I have just starting practicing and now improving on "age" word problems. But I am stuck on this one question: Nick and Kane were born on consecutive years and on same da

Question 825527: Hello, I have just starting practicing and now improving on "age" word problems. But I am stuck on this one question:
Nick and Kane were born on consecutive years and on same date. Nick is younger. The sum of their ages is 11. Find the age of the brothers.
I get confused with the word "consecutive" in a sentence. However, I had a go:
n = k - 1 (I assume that Nick is younger by a year but the I am not too sure of the number)
n + k = 11 (the sum of both the brothers' ages)
Sub n = k - 1 into n + k = 11
k - 1 + k = 11
2k - 1 = 11
2k = 12
k = 6
Nick would have to be 5 years old.
Does this sound right to you?

Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
let x be Nick's age, then x+1 will be Kane's age. Therefore,
x +(x+1) = 11
2x = 10
x = 5
Nick's age is 5 and Kane's age is 6

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