saracyoungow4fzc saracyoungow4fzc

18-01-2018
Mathematics

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The average age 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?

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twvogels twvogels

18-01-2018

Call the four people [tex]a, b, c[/tex] and [tex]d[/tex].

We know:
[tex]\frac{a+b+c}{3}=42[/tex]

and
[tex]\frac{a+b+c+d}{4}=40[/tex]

Thus:
[tex]a+b+c=126[/tex]
[tex]\frac{126+d}{4}=40[/tex]
[tex]126+d=160[/tex]
[tex]d=34[/tex]

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