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[tex]\huge\pink{\boxed{\blue{\boxed{ \purple{ \boxed{{\pink{Answer}}}}}}}} \\ \large\pink{\boxed{\blue{\boxed{ \purple{ \boxed{{\pink{Your~answer↓}}}}}}}}[/tex]
Average age of 5 boys is 12 years
Age of 4 children are 6, 11, 12, 16
Let the age of 5th child be 'x' years.
[tex]\large\bold\red{Using \: the \: formula \: of \: average }[/tex]
[tex]\small\bold\red{average \: = \frac{sum \: of \: observations}{number \: of \: observation} }[/tex]
[tex] \frac{6 + 11 + 12 + 16 + x}{5} = 12 \\ 45 + x = 60 \\ x = 15[/tex]
So age of 5th children is 15 years.
[tex]\huge \fcolorbox{black}{cyan}{♛hope \: it \: helps \: you♛}[/tex]
[tex] \frac{6 + 11 + 12 + 16 + x}{5} = 12[/tex]
[tex]45 + x = 60[/tex]
[tex]x + 15[/tex]