If the sum of five consecutive even integers is t, then, in terms of t, what is the greatest integer?

Question

Mathematics

Hadley Serrano

5 August, 18:07

If the sum of five consecutive even integers is t, then, in terms of t, what is the greatest integer?

+5

Answers (1)

Know the Answer?

Diana Hood · Answer 1

Let x be first integer the we have the sum:-

x + x + 2 + x+4 + x+6 + x + 8 = t

5x + 20 = t

5x = t - 20

and x = (t - 20) / 5

so the greatest integer x + 8 = (t - 20) / 5 + 8 = (t - 20) / 5 + 40/5

= (t + 20) / 5 answer