jmc

Question

For a list of five positive integers, none greater than 100, the mean is 1.5 times the mode. If 31, 58, 98, x and x are the five integers, what is the value of x?

Accepted Answer

The mean of the list 31, 58, 98, x and x is (31+58+98+2x)/5=(187+2x)/5, and the mode is x. Solving 1.5x=(187+2x)/5 we find x=34.