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The mean age of a group of students is 16. John joins the group and the mean age changes to 18. How old is john ?

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Answer:

John is 20 years old.

Step-by-step explanation:

Given the second mean is 18, it is equal to the first mean age plus John's unknown age. The sum is also divided by 2 because there are 2 values in the sum (1. John's age and 2. the mean, 16 yrs old).

Set up an equation: [tex]\frac{x+16}{2}=18[/tex]

multiply both sides by 2: [tex]x+16=36[/tex]

simplify: [tex]x=20[/tex]

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