# Math Help - Solving a worded problem - simultaneous equations

1. ## Solving a worded problem - simultaneous equations

The sum of two numbers is 7 and their product is 25. Determine the sum of their reciprocals

2. Originally Posted by math123456
The sum of two numbers is 7 and their product is 25. Determine the sum of their reciprocals
Let the numbers be $x$ and $y$

you have

$x + y = 7$ ............(1)
$xy = 25$ ...............(2)

this is a system of simultaneous equations. you can solve for x and y (or just one of them, if you want), then you can find the value of the desired expression

$\frac 1x + \frac 1y = \cdots$