The sum of five consecutive natural numbers is 570. What is the sum of the second and fourth of them?
| April 10, 2021 | education
Let’s denote 5 consecutive natural numbers as:
a1 = a, a2 = a + 1, a3 = a + 2, a4 = a + 3, a5 = a + 4.
The sum of a1 + a2 + a3 + a4 + a5 = 5 * a + 1 + 2 + 3 + 4 =
5 * a + 10 = 570; then a = 560: 5 = 112.
a2 = a + 1 = 112 + 1 = 113;
a4 = a + 3 = 112 + 3 = 115;
a2 + a4 = 113 + 115 = 228.
Answer: the sum is 228.
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