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Let x be your age.
Then your brothers age is (x+5) years, according to the condition.
The sum of your ages is 111 years
x + (x+5) = 111.
It is the equation the problem asks to write.
Solve it
2x + 5 = 111
2x = 111 - 5
2x = 106
x = 106/2 = 53.
Your age is 53 years. ANSWER
Your brother's age is 53 + 5 = 58 years. ANSWER
CHECK. 53 + 58 = 111 years. ! Correct !
Solved.