The average of three numbers p, q and r is k. p is as much more than the average as q is less than the average. What is the value of r?

The average of p, q, r is k, so p + q + r = 3k. Given that p is as much more than k as q is less than k, we can write p − k = k − q, which gives p + q = 2k. Substituting into the sum: 2k + r = 3k, so r = k. Therefore the value of r equals the average k itself.