Let the Angela and Walker weekly salaries 25 years ago in dollars be x and y.

Since, 25 years ago their total weekly salaries is $500.

\(\displaystyle\therefore{x}+{y}={500}\)

Step 2

Now, Angela and walker salaries are four and three times than earlier respectively.

Since, their total weekly salaries is $1740.

\(\displaystyle\therefore{4}{x}+{3}{y}={1740}\)

Step 3

Now, solving the equation

From (i), we have

\(\displaystyle{x}+{y}={500}\)

\(\displaystyle{x}={500}-{y}\) (ii)

Step 4

Putting eq.(iii) in eq.(ii), we get

\(\displaystyle{4}{\left({500}-{y}\right)}+{3}{y}={1740}\)

\(\displaystyle{2000}-{4}{y}+{3}{y}={1740}\)

\(\displaystyle-{y}={1740}-{2000}\)

\(\displaystyle-{y}=-{260}\)

\(\displaystyle{y}={260}\)

\(\displaystyle\therefore{x}={500}-{260}={240}\)

Step 5

Answer

Therefore, Angela and Walker weekly salaries 25 years ago in dollars is 240 and 260 respectively.