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If the average of 5 consecutive integers is x then, find the average of next to next 5 consecutive integers.

If the average of 5 consecutive integers is x then, find the average of next to next 5 consecutive integers. Correct Answer x + 10

Let number be a, a + 1, a + 2, a + 3, a + 4
Next, a + 5, a + 6, a + 7, a + 8, a + 9
Next to next - a + 10, a + 11, a + 12, a + 13, a + 14
1st condition = $$\frac{5a + 10}{5}$$   = x
5a + 10 = 5x.....(i)
2nd condition
= $$\frac{a + 10 + a + 11 + a + 12 + a + 13 + a + 14}{5}$$
= $$\frac{5a + 50 + 10}{5}$$
From equation (i),
= $$\frac{5x + 50}{5}$$
= x + 10

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