We can represent the consecutive numbers with x and x+1. Next, we can translate the sentences into an equation, factor, and solve for x.
x(x+1) = 11(x + x + 1 + 35) x^2 + x = 11(2x + 36) x^2 + x = 22x + 396 x^2 - 21x - 396 = 0 (x + 12)(x - 33) = 0 Since the question is asking for a positive no. we know the first integer must be 33. The next integer would be 34 because it is 1 more than 33.
