Question

sum of two numbers a and b is 10 and sum of their reciprocal 1/a and 1/b is 5/12. What is product of a and b?​

Answer 1

Answer:

given

a+b = 10 -----(i)

1/a + 1/b = 5/12 ===> cross multiply ==> a+ b/ab = 5/12

from (i) ===> 10/ab = 5/12 ====> on solving===> ab = 24