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,

Answer 1

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

Answer 2

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