The mean of twelve positive numbers is 3. When another number is added, the mean becomes 5. Find the thirteenth number

The mean of twelve positive numbers is 3. When another number is added, the mean becomes 5. Find the thirteenth number

Answer Details

Let the sum of the 12 numbers be x and the 13th number be y.

x12=3⟹x=36 $\frac{x}{12}=3⟹x=36$

36+y13=5⟹36+y=65 $\frac{36+y}{13}=5⟹36+y=65$

y=65−36=29