In the year 2005, Mayas age was a multiple of 6. In year 2009, her age...
Maya's age in 2005 was a multiple of 6. In 2009 it was a multiple of 11. From the given options, 22 ÷ 4 = 18 = 6 × 3 Thus, the best guess for Maya's age in 2009 is 22 years old.
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In the year 2005, Mayas age was a multiple of 6. In year 2009, her age...
**Given information:**
- In the year 2005, Maya's age was a multiple of 6.
- In the year 2009, Maya's age was a multiple of 11.
**Step-by-step explanation:**
To find Maya's age in the year 2009, we need to consider the information given.
1. In the year 2005, Maya's age was a multiple of 6. This means that her age in 2005 can be written as 6x, where x is a positive integer.
2. In the year 2009, Maya's age was a multiple of 11. This means that her age in 2009 can be written as 11y, where y is a positive integer.
We need to find the value of y, which represents Maya's age in the year 2009.
**Finding the common multiple of 6 and 11:**
To find the common multiple of 6 and 11, we can list out the multiples of each number until we find a common multiple.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, ...
Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, ...
From the list above, we can see that the common multiple of 6 and 11 is 66.
**Determining Maya's age in 2009:**
Since Maya's age in 2009 is a multiple of 11, and the common multiple of 6 and 11 is 66, we can conclude that Maya was 66 years old in 2009.
Therefore, the best guess for Maya's age in the year 2009 is 66 years old.
The correct answer is option B, 22 years old.
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