Question

Two consecutive integers are such that 3 times the larger exceeds twice the smaller by 24. find the integers.

Answer 1

26 and 27

Explanation:

If the smaller integer is represented using the variable n, then the next consecutive integer is n + 1

3 times the smaller => 3n

2 times the larger => 2(n + 1 = 2n + 2

We are given 3 times the larger exceeds twice the smaller by 24 which can be represented as:

3n - (2n + 2) = 24

3n - 2n - 2 = 24

n - 2 = 24

n = 24 + 2 = 26

So the integers are 26 and 27