Question

Find the largest of four consecutive odd integers whose sum is 56

Answer 1

Answer:17

Explanation:

Let the first of the four consecutive odd numbers be x. To find the following odd number you have to add 2. This would give us the sequence:

x x+2 x+4 x+6

Add the four terms together and let it be equal to 56, then simplify.

x + x+2 + x+4 + x+6 = 56

4x + 12 =56

4x = 44

x = 11.

The largest of the four consecutive odd numbers is x + 6. So, substitute the value of x into the expression.

x + 6

11 + 6

17