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MakcuM [25]
2 years ago
11

Six people are standing in line for concert tickets. Their average age is 27. The average age of the first four people in line i

s 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,
Mathematics
2 answers:
DanielleElmas [232]2 years ago
7 0

The best answer for this question would be:

 

D. 32

 

In order to get this, you have to get the sum in the line, which is the first four people. So the solution would be: 4(23) = 92

 

For getting the sum of the people in the last 3 would be: 3(34) = 102

 

Next is the sum of everyone which the solution would be: 6(27) = 162

 

So the initial solution that we have now would be: F + 92 - F + 102- F = 162

 

- F + 194 = 162

 

- F = 162 - 194

 

- F = - 32

 

The (F) here or the fourth person’s age would be= -32 / - 1 or 32

yaroslaw [1]2 years ago
4 0
Hi there,

Let the age of the 4th person be F

Sum of the 1st four in line: 4(23), or 92

Sum of 1st 3: 92 - F (excludes the 4th person's age)

Sum of the last 3 in line: 3(34), or 102

Sum of last 2: 102 - F (excludes the 4th person's age)

Sum of all 6: 6(27), or 162 (INCLUDES 4th person's age)

We now get: F + 92 - F + 102- F = 162

- F + 194 = 162

- F = 162 - 194

- F = - 32

F =32.
Hence ans is op (D).
Hope it helps
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