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Linda is 5 years older than Mike. In 2 years, Linda's age will be twice Mike's. How old are they now?
Linda is 5 years older than Mike. In 2 years, Linda's age will be twice Mike's. How old are they now?
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Koala Tutor
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Got a question with my answer?
Let's call Linda's current age L and Mike's current age M.
We can write two equations based on the information given in the problem:
L = M + 5 (Linda is 5 years older than Mike)
L + 2 = 2(M + 2) (In 2 years, Linda's age will be twice Mike's age)
Now we can solve the equations.
Substituting the value of L from the first equation into the second equation, we get:
(M + 5) + 2 = 2(M + 2)
M + 7 = 2M + 4
7 - 4 = 2M - M
3 = M
Substituting the value of M back into the first equation, we get:
L = 3 + 5
L = 8
So, Linda is currently 8 years old and Mike is currently 3 years old.
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