Answer:
1600 years
Step-by-step explanation:
Let A = age of ancient artifact
Let B = age of antique book
The artifact is 4 times the age of the book, so:
A = 4B
In 200 years it will be 3 times the age of the book:
A + 200 = 3(B + 200)
⇒ A = 3B + 400
Equate equations for A:
A = A
4B = 3B +400
B = 400 years
Substitute value found for B into A = 4B and solve for A:
A = 4 x 400 = 1600 years
