The average of the salaries of Tim, Maida and Aaron is $24000 per year. Maida earns $10000 more than Tim, and Aaron's salary is 2000 more than twice Tim's salary. How do you find the salary of each person?

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Answer 1 · 2016-11-27T16:27:50

Maida's salary is #$25,000#; Tim's salary is #$15,000#; Aaron's salary is #$32,000#.

From the details, we can express each one's salary as follows:

Tim: #x#, Maida: #(x+10000)#, Aaron: #(2x+2000)#

Since the average of these three salaries is known, we can write the equation as:

#(x+(x+10000)+(2x+2000))/3=24000#

Multiply both sides by #3#.

#x+(x+10000)+(2x+2000)=72000#

Open the brackets and simplify.

#x+x+10000+2x+2000=72000#

#4x+12000=72000#

Subtract #12000# from both sides.

#4x=60000#

Divide both sides by #4#.

#x=15000#

#:. (x+10000)=25000# and #(2x+2000)=32000#