 # The average of the salaries of Tim, Maida, and Aaron is $34,000 per year. Maida earns$10,000 more than Tim, and Aaron's salary is $8,000 less than twice Tim's salary. Please find the salary of each person. Francisco Proctor 2022-08-01 Answered The average of the salaries of Tim, Maida, and Aaron is$34,000 per year. Maida earns $10,000 more than Tim, and Aaron's salary is$8,000 less than twice Tim's salary. Please find the salary of each person.
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Step 1
Average salary of Tim, Maida and Aaron $=34000$
Average salary $=\frac{\text{Total salary}}{\text{No. of persons}}$
$Tim+Maida+Aaron=34000×3$
$T+M+A=102000--\left(1\right)$
Maida earn 10000 more than Tim.
$\therefore M=T+10000--\left(2\right)$
Aaron salary is 8000 less than twice Tim salary
$A=2T-8000--\left(3\right)$
Put value of M and A in (1)
$T+\left(T+10000\right)+\left(2T-8000\right)=102000\phantom{\rule{0ex}{0ex}}4T+2000=102000\phantom{\rule{0ex}{0ex}}4T=100000\phantom{\rule{0ex}{0ex}}T=25000$
Step 2
$M=25000+10000\phantom{\rule{0ex}{0ex}}M=35000$
$A=2\left(25000\right)-8000\phantom{\rule{0ex}{0ex}}A=42000$
Salary $Tim=25000\phantom{\rule{0ex}{0ex}}Maida=35000\phantom{\rule{0ex}{0ex}}Aaron=42000$