Question

Four times the greater of two consecutive integers is 18 more

than three times the
lesser integer. What are the integers?

Answer 1

Explanation:

Givens

Smaller integer = x

Larger integer = x + 1

Formula

4(x + 1) = 3(x) + 18 Remove Brackets. If 18 is added to the smaller 3 times the number, you get the larger number

4x +4 = 3x + 18 Subtract 3x from both sides

4x + 4 - 3x = 3x - 3x + 18 Combine

x = 18

So the two integers should be

Answer

18 and 19