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 !