sorchak45
Answered

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please help i cant do this its do in 1 hour! I'll mark brainliest! An ancient artifact it four times older than an antique book. the 200 years the artifact will be 3 times older than the book. how old is the artifact now?

Sagot :

semsee45

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

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