Answer:
The average yearly salary of the architect is $62,000 and the lawyer is $100,000.
Step-by-step explanation:
Given:
The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.
Combined, an architect and a lawyer earn $ 210 thousand.
Now, to find the average yearly salary of an architect and a lawyer.
Let the average yearly salary of an architect be [tex]x.[/tex]
So, the average yearly salary of the lawyer = [tex]2x-24,000.[/tex]
Combined, architect and lawyer earn = [tex]\$210,000.[/tex]
Now, to get the average salary of the architect and lawyer:
[tex]x+(2x-24000)=210000[/tex]
[tex]x+2x-24000=210000\\\\3x-24000=210000[/tex]
Adding both sides 24000 we get:
[tex]3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.[/tex]
The average salary of architect = $62,000.
Now, to get the average salary of lawyer by substituting the value of [tex]x[/tex]:
[tex]2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.[/tex]
The average salary of lawyer = $100,000.
Therefore, the average yearly salary of the architect is $62,000 and the lawyer is $100,000.
