Question

The average yearly salary of a lawyer is $37 thousand less than twice that of an architect. Combined, an archited and a lawyer earn $212 thousand. Find the average yearly salary of an architect and a lawyer

Answer 1

• average yearly salary of an architect is $83 thousand

• average yearly salary of a lawyer is $129 thousand

Explanation:

Let

L=average yearly salary of a lawyer and

A=average yearly salary of an architect then,

Since the average yearly salary of a lawyer is $37 thousand less than twice that of an architect, we can write it as

• L=2×A - $37000

Since an architect and a lawyer earn $212 thousand we can write it as

• A+L= $212000

If we replace L with (2×A - $37000) in the above equation:

A+L= A + (2×A - $37000) = 3×A - $37000 = $212000

that is 3×A = $212000 + $37000 = $249000

so A=
`($249000 )/(3)`= $83000

from here L=$212000 - $83000 = $129000