Answered

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hello! i'd like someone to help me convert this problem to an equation, please !! i don't need the result :(
Tomorrow Andrea is on her birthday and her best friends do not know how old Andrea is. When they ask Andrea how old she is, she gets angry and says "In 11 more years my age will be half the square of my age 13 years ago". Andrea's friends are not very good at math. Help them and tell them what Andrea's age is. (You must send development of this exercise)

Sagot :

solaric

Answer:

21

Step-by-step explanation:

We can set Andrea's current age as x.

In 11 years, her age will be half the square of her age 13 years ago. We get the equation:

[tex]x+11=\frac{(x-13)^2}{2} \\2(x+11)=(x-13)^2\\2x+22=x^2-26x+169\\x^2-28x+147=0\\(x-21)(x-7)=0\\x=21, x=7[/tex]

Ok, now we know that Andreas age could be either 21 or 7. However, the problem states that "in 11 more years my age will be hald the square of my age 13 years ago." It would not make sense for Andrea to be currently 7 if she was not yet born 13 years ago.

Therefore, Andrea's age is 21.

I hope this helps! Let me know if you have any questions :)

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