Question

The mean of two numbers 25 and 37 is equal to the mean of three other numbers: 20, 15 and q Find the value of q. (40 points)​

Answer 1

58

Explanation:

Mean = Sum of Values/Number of Values

`(25 + 37)/(2) = (20 + 15 + q)/(3) \\ (62)/(2) = (35 + q)/(3) \\ 31 = (35 + q)/(3) \\ crossmultiply \\ 31 * 3 = 35 + q \\ 35 + q = 93 \\ q = 93 - 35 = 58`