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The average age of three people running for election is 42. A fourth person joins the race and the average drops to 40. What is the fourth person's age? OA. 32 OB. 34 ОО C. 35 D. 36 E. 40
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The average age of three people running for election is 42. A fourth person joins the race and the average drops to 40. What is the fourth

person's age?
OA. 32
OB. 34
ОО
C. 35
D. 36
E. 40

User B Bycroft
by
5.5k points

1 Answer

5 votes

Answer:

B. 34


let \: sum \: of \: ages \: of\: 3 \: people \: be \: x \\ 42 = (x)/(3) \\ x = 126 \\ let \:age \: of \: fourth \: person \: be \: y \\ 40 = (x + y)/(4) \\ 160 = x + y \\ 160 = 126 + y \\ y = 34 \\ = 34 \: years

User Aioros
by
5.3k points
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