Six people are standing in line for concert tickets. Their average age is 27. The average age of the first four people in line is 23. The average age of the last three people is 34. How old is the fourth person in line?

a.)28
b.)26
c.)30
d.)32

Question

Six people are standing in line for concert tickets. Their average age is 27. The average age of the first four people in line is 23. The average age of the last three people is 34. How old is the fourth person in line?

a.)28
b.)26
c.)30
d.)32

retireed · Answer

I don't know why (yet) but I think it is 32.  I will show you my calculation and try to explain what I did.

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darlene · Answer

I think I get it thanks

retireed · Answer

27 times 6 is 162
23 times 4 is  92
34 times 3 is 102

If I add 92 to 102 I get 194 and if I subtract 162 I get 32 but I don't know if this is right.

kevin · Answer

Using diagram venn :
\\ = sum of 4 first people's age
/// = sum of 3 last people's age

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