Math, asked by athokpampibarel, 4 months ago

the average age of 7 boys is 15 years one more boys joins them and the average age now becomes 14 years Find the age of the boy who joins last​

Answers

Answered by ItzBrainlyPrince
8

Question :-

The average age of 7 boys is 15 years one more boys joins them and the average age now becomes 14 years Find the age of the boy who joins last ?

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Answer :-

From the Question :-

• Total Number of boys = 7

• Average age of boys = 15 years.

 \sf{ \red{average =   \frac{sum \: quantities}{no \: of \: quantities}  }{} }{}

15 =  \frac{sum \: ages \: of \: 7boys}{7}  \\  \\ 105 = sum \: ages \: of \: 7 \: boys -(  1)

Now,

• Another boy joins and the avarge is 14

• Let present age of boy who join last be ' y years '

• From the Question we know that,

14 \: years =  \frac{sum \: ages \: of \: 7boys + y}{8}  \\ 112 = sum \: ages \: of \: 7 \: boys \\  \\ newly \: joined \: boy \: age = 7years

Hence the Age of newly joined boy = 7 years

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