Question

If the average of two numbers is 13 and the square root of their product is 12, then the difference between the numbers is:

Q: Answer-If the average of two numbers is 13 and the square root of their product is 12, then the difference...

Sum of the numbers 13 2 26 Let the two numbers be a and b So, a b 26 ----i Now, ab 12 ab2 122 ab 144 Now, a b2 262 a2 b2 2ab 676 a2 b2 2ab - 4ab 676 - 4 144 a2 b2 - 2ab 676 - 576 a - b2 100 a - b 10 ----ii From eq i and eq ii we can say a 18 and b 8 Now, Difference of the two numbers 18 - 8 10 The difference between the numbers is 10.