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blagie [28]
3 years ago
12

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
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

Answer:

B. 34

let \: sum \: of  \: ages \: of\: 3 \: people \: be \: x \\ 42 =  \frac{x}{3}  \\ x = 126 \\ let \:age \: of \:  fourth \: person \: be \: y \\ 40 =  \frac{x + y}{4}  \\ 160 = x + y \\ 160 = 126 + y \\ y = 34 \\  = 34 \: years

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Answer:

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Step-by-step explanation:

Alright, we'll need the Pythagorean theorem for this!

So, the length of AC is 10. That means the lengths of AD and DC are both half of that, which is 5 :)

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