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Today Aimee is 1/3 of Jamie's age. In 12 years, Aimee will be 50% of Jamie's age. How old will Aimee be next year? Please answer quickly, there are bonus points

User Berschi
by
5.0k points

2 Answers

2 votes

Answer:

Aimee will be 13 years old next year/

Explanation:

A stands for Aimee, and J stands for Jamie.

A = (1/3) * J

A + 12 = (1/2) * (J + 12)

Using the value of A from the first equation in the second one, we have:

J/3 + 12 = J/2 + 6

J/2 - J/3 = 6

J/6 = 6

J = 36

Now we can find A:

A = (1/3) * 36 = 12

In conclusion, Aimee will be 13 years old next year.

User DeltaLima
by
4.6k points
7 votes

Answer:

Next year Aimee will be 13 years old

Explanation:

Let's call Aimee's age A, and Jamie's age J.

From the information given, we have that:

A = (1/3) * J

A + 12 = (1/2) * (J + 12)

Using the value of A from the first equation in the second one, we have:

J/3 + 12 = J/2 + 6

J/2 - J/3 = 6

J/6 = 6

J = 36

Now we can find A:

A = (1/3) * 36 = 12

So next year Aimee will be 13 years old

User Eliyahu
by
4.8k points