Question

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

Answer 1

Given that be two numbers in such a way that.

Then according to question

By cross multiplication

…. (1)

Now putting the value of b in equation (1)

Or

Therefore,

When then

And when then

Thus, two consecutive number be either