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

Answer: Option C

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