Amanda says "8 times my age 3 years ago is the same as 4 times my age in 5 years. How old is Amanda now? What is the correct equation and solution?

Question

 Amanda says "8 times my age 3 years ago is the same as 4 times my age in 5 years. How old is Amanda now?  What is the correct equation and solution?

Answer 1

If x is your age now, then 3 years ago it was x-3. Five years from now it is x+5

So eight times your age 3 years ago = 8(x-3)

Four times your age 5 years from now = 4(x+5)

Since they're the same,

8(x-3) = 4(x+5)

This reduces to 4x = 44 so x (your age now) is 11

Answer 2

Hi Ebraheem C.

Amanda is 11

According to the information given 8*(amanada's age 3 years ago) is the same as 4*(amanda's age in 5 years)

Let Amanda's age = x

8*(amanada's age 3 years ago) = 8(x - 3)

4*(amanda's age in 5 years) = 4(x + 5)

Since they are the same, that means they are equal

We have the equation below

8(x - 3) = 4(x + 5)

Just do PEMDAS and solve for x

8x - 24 = 4x + 20

8x - 4x = 24 + 20

4x = 44

x = 11

You can check this number in original equation above.

I hope this helps, let me know if you have any questions.