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 $(2x+2000)=32000$