2014 AMC 8 Problem 10

Below is the professionally curated solution for Problem 10 of the 2014 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2014 AMC 8 solutions, or check the answer key.

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Concepts:ages date and time

Difficulty rating: 770

10.

The first AMC $8$ was given in $1985$ and it has been given annually since that time. Samantha turned $12$ years old the year that she took the seventh AMC $8.$ In what year was Samantha born?

$1979$

$1980$

$1981$

$1982$

$1983$

Solution:

The seventh AMC 8 would have been administered $6$ years after the first one. Therefore, Samantha took it in $1985 + 6 = 1991.$

This means that Samantha was born $12$ years prior in $1991 - 12 = 1979.$

Thus, A is the correct answer.

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