Question 505782
Let 
Salary of Joe = j
Salary of Moe = m
Given
Sum of both salaries (Joe + Moe) = 62000
11% of j = j* 11% = j * 11/100 = 11j/100
Moe earns 11% more than her husband Joe
Moe Salary = Joe's salary  + 11% of Joe's salary
Moe Salary = j + 11j/100

Joe salary + Moe salary = Sum of salaries
j + j + 11j/100 = 62000
j + j + 11j/100 = 62000
2j + 11j/100 = 62000
Multiply by 100 both sides of above equation
100*2j + 100*(11j)/100] = 100*62000
200j+11j=6200000
211j=6200000
Divide by 211 both sides of above equation
211j/211=6200000/211
j=29383.8862559

Moe Salary = j + 11j/100
Put the value of j in above equation
Moe Salary = 29383.8862559+11(29383.8862559)/100
Moe Salary = 29383.8862559+323222.748814/100
Moe Salary = 29383.8862559+3232.22748814
Moe Salary = 32616.11374


Joe salary + Moe salary = Sum of salaries
29383.8862559+32616.11374 = 62000
62000=62000