# The sum of two consecutive integers is 35, what are the numbers?

The two consecutive numbers are $17 \mathmr{and} 18$
Let the two consecutive integers are $x \mathmr{and} x + 1$ $\therefore x + x + 1 = 35 \mathmr{and} 2 x = 34 \mathmr{and} x = 17 \therefore x = 1 = 18$ Hence the two consecutive numbers are $17 \mathmr{and} 18$ [Ans]