1.

The sum of 5 consecutive even number is 80 what is the least even number.

Answer»

Let least even number is 2n - 4.

Therefore 5 consecutive even numbers are 2n - 4, 2n - 2, 2n, 2n + 2 and 2n + 4.

\(\therefore\) Their sum = (2n - 4) + (2n - 2) + 2n + (2n + 2) + (2n + 4)

 = 10 n

\(\therefore\) 10n = 80 (\(\because\) Given that sum of 5 consecutive even numbers is 80)

⇒ n = 80/10 = 8

\(\therefore\) least even number = 2n - 4 = 2 x 8 - 4 = 16 - 4 = 12



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