document.write( "Question 1046545: 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? \n" ); document.write( "

Algebra.Com's Answer #661998 by MathTherapy(10556) $\"\"$ $\"About$

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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?
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Let the age of the 4th person be F
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document.write( "Sum of the 1st four in line: 4(23), or 92
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document.write( "Sum of 1st 3: 92 - F (excludes the 4th person's age)
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document.write( "Sum of the last 3 in line: 3(34), or 102
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document.write( "Sum of last 2: 102 - F (excludes the 4th person's age)
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document.write( "Sum of all 6: 6(27), or 162 (INCLUDES 4th person's age)
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document.write( "We now get: F + 92 - F + 102- F = 162
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document.write( "- F + 194 = 162
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document.write( "- F = 162 - 194
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document.write( "- F = - 32
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document.write( "F, or 4th person's age = , or  \n" );
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