Question

The sum of two numbers a and b is 15, and the sum of their reciprocals $\frac{1}{a}and\frac{1}{b}is\frac{3}{10}$ Find the numbers a and b

Answer 1

Given: a+b=15
That is a=15-b .... i)
and .... ii)
putting the value of a from equation i) in equation ii) we get,


putting the value of b in equation i) we get
a=15-5 or 15-10
a=10 or a=5
Therefore the value of a and b are 5 and 10 or 10 and 5.