Question

The sum of two consecutive even integers is 48 less than 3 times the largest integer. Find both integers algebraically.

Answer 1

• 44 and 46

Explanation:

Let the integers be:

• n and n + 2

Then we have:

• n + n + 2 = 3(n + 2) - 48

Solving for n:

• 2n + 2 = 3n + 6 - 48
• 3n - 2n = 2 + 48 - 6
• n = 44

So the numbers are 44 and 46