Question

The sum of 2 consecutive integers is one less than 3 times the smaller integer find the 2 integers

Answer 1

The two consecutive integers are 2 and 3

Solution:

Let x and x + 1 are the two consecutive integers

Let "x" be the smallest integer

Let "x + 1" be the larger integer

Given that, sum of 2 consecutive integers is one less than 3 times the smaller integer

Therefore,

sum of 2 consecutive integers = one less than 3 times the smaller integer

sum of 2 consecutive integers = 3 times the smaller integer - 1

x + x + 1 = 3(x) - 1

2x + 1 = 3x - 1

3x - 2x = 1 + 1

x = 2

Thus the smaller integer = x = 2

Larger integer = x + 1 = 2 + 1 = 3

Thus the two consecutive integers are 2 and 3