Question

An artifact is four times 4 times older than an antiuqe book. In 200 years the artifact will be 3 times older than the book. How old is the artifact now?

Answer 1

The present age of the artifact is 1,600 years

Step-by-step explanation:

let the present age of the artifact = x

let the present age of the book, = y

x = 4y ---- equation (1)

x + 200 = 3(y + 200) ------equation (2)

x + 200 = 3y + 600

substitute in the value of x into the equation;

4y + 200 = 3y + 600

4y - 3y = 600 - 200

y = 400

Then, x = 4 x 400

x = 1,600 years

Answer 2

The present age of the artifact is 1,600 years

Explanation:

let the present age of the artifact = x

let the present age of the book, = y

x = 4y ---- equation (1)

x + 200 = 3(y + 200) ------equation (2)

x + 200 = 3y + 600

substitute in the value of x into the equation;

4y + 200 = 3y + 600

4y - 3y = 600 - 200

y = 400

Then, x = 4 x 400

x = 1,600 years

Therefore, the present age of the artifact is 1,600 years