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

Question

Mathematics

Anderson

14 May, 08:14

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

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Answers (1)

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Paisley Haas · 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