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Grade10Dumbassstudego
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(3) The mean age of five boys is 16 years of the ages of four of them be 15 years, 18 years, 14 years and 19 years then find the age of the fifth boy,​

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KAntoineDoixgo

MEAN

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[tex] \large \bold{\blue{Problem:}} [/tex] The mean age of five boys is 16 years of the ages of four of them be 15 years, 18 years, 14 years and 19 years then find the age of the fifth boy.

[tex] \large \bold{\blue{Solution:}} [/tex] The meaning of the mean means it is the average of the given data set. Add all the given data set then divide it into how many were given.

  • [tex] \sf \frac{15 \ + \ 18 \ + \ 14 \ + \ 19 \ + \ x}{5} = 16 [/tex]

  • [tex] \sf \frac{66 \ + \ x}{5} = 16 [/tex]

  • [tex] \sf 66 + x = 16 \cdot 5[/tex]

  • [tex] \sf 66 + x = 80 [/tex]

  • [tex] \sf x = 80 - 66 [/tex]

  • [tex] \sf x = 14 [/tex]

» Thus, the age of the fifth boy is:

[tex] \large \therefore \boxed{ \tt \purple{14 \: years \: old}}[/tex]

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