Kevin 4
Kevin is 4 years older than Margaret. Next year Kevin will be 2 times as old as Margaret. How old is Kevin?
Correct answer:
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Math student
Let's start by defining some variables. Let:
K be Kevin's current age.
M be Margaret's current age.
From the problem, we know that Kevin is 4 years older than Margaret, so we can write:
K = M + 4
We also know that next year Kevin will be 2 times as old as Margaret, so we can write:
K + 1 = 2(M + 1)
Simplifying this equation, we get:
K + 1 = 2M + 2
Substituting K = M + 4 from the first equation, we get:
M + 4 + 1 = 2M + 2
Simplifying this equation, we get:
M + 5 = 2M + 2
Subtracting M from both sides, we get:
5 = M + 2
Subtracting 2 from both sides, we get:
M = 3
Substituting M = 3 into the equation K = M + 4, we get:
K = 3 + 4 = 7
Therefore, Kevin is 7 years old.
To verify this solution, we can check that it satisfies the conditions of the problem. Kevin is 4 years older than Margaret, so we have K = M + 4, which gives K = 3 + 4 = 7. Next year, Kevin will be 8 years old, and Margaret will be 4 years old. This is indeed 2 times Margaret's age, as required by the problem. Therefore, the correct answer is that Kevin is 7 years old.
K be Kevin's current age.
M be Margaret's current age.
From the problem, we know that Kevin is 4 years older than Margaret, so we can write:
K = M + 4
We also know that next year Kevin will be 2 times as old as Margaret, so we can write:
K + 1 = 2(M + 1)
Simplifying this equation, we get:
K + 1 = 2M + 2
Substituting K = M + 4 from the first equation, we get:
M + 4 + 1 = 2M + 2
Simplifying this equation, we get:
M + 5 = 2M + 2
Subtracting M from both sides, we get:
5 = M + 2
Subtracting 2 from both sides, we get:
M = 3
Substituting M = 3 into the equation K = M + 4, we get:
K = 3 + 4 = 7
Therefore, Kevin is 7 years old.
To verify this solution, we can check that it satisfies the conditions of the problem. Kevin is 4 years older than Margaret, so we have K = M + 4, which gives K = 3 + 4 = 7. Next year, Kevin will be 8 years old, and Margaret will be 4 years old. This is indeed 2 times Margaret's age, as required by the problem. Therefore, the correct answer is that Kevin is 7 years old.
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