the sum of two numbers is 13/6.An even number of arithematic means are being inserted between them and their sum exceeds their number by 1.Find the number of means inserted.

Question

the sum of two numbers is 13/6.An even number of  arithematic means are being inserted between them and their sum exceeds their number by 1.Find the number of means inserted.

anonymous · Answer

I'm not sure I understand the question...This is confusing and ambiguous.

anonymous · Answer

say the numbers are a and b. The arithmetic mean of a and b is (a+b)/2. so the arithmetic mean of these two numbers is 13/12, because they already gave us a+b=13/6. now we're inserting a number (n) of these, and their sum exceeds their number by 1:
n(13/12) = n + 1
13n/12 = n + 1
13n = 12n + 12
n = 12