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A marble statue is 51 years old and a limestone statue is 123 years old. In how many years will the...

A marble statue is 51 years old and a limestone statue is 123 years old. In how many years will the limestone statue be twice as old as the marble statue?
Answer: ____

Answer

Let x be the number of years after which the limestone statue will be twice as old as the marble statue.

In x years, the marble statue will be 51 + x years old, and the limestone statue will be 123 + x years old.

We need to solve the equation: 123 + x = 2(51 + x).

Expanding the equation: 123 + x = 102 + 2x.

Rearranging gives: 123 - 102 = 2x - x.

21 = x.

Therefore, in 21 years, the limestone statue will be twice as old as the marble statue.

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