The sum of two natural numbers is 8 and their product is 15. Find the numbers.

Answer

3 and 5

Explanation

`alpha+beta=8" and "alphabeta=15.`
The quadratic equation whose roots are `alpha` and `beta` is given by
`x^(2)-8x+15=0`
`impliesx^(2)-5x-3x+15=0`
`impliesx(x-5)-3(x-5)=0`
`implies(x-3)(x-5)=0`
`:." "x=3" or "x=5.`