Question

The average of two numbers M and N is 104 when M is increased by 14. The average of M and N is 43 when N is made equal to M. What is the value of N?

• A. 43
• B. 108
• C. 86
• D. None of the above

Answer 1

Answer:

D. None of the above

Solution: Given: The average of two numbers M and N is 104 when M is increased by 14 The average of M and N is 43 when N is made equal to M Formula: Average of n numbers a1, a2, ..., an = (a1 + a2 + ... + an)/n Calculation: The average of M and N is 43 when N is made equal to M. (M + M)/2 = 43 M = 43 The average of M and N is 104 when M is increased by 14 (M + 14 + N)/2 = 104 43 + 14 + N = 208 N = 208 – 57 = 151