Question

solve this word problem leading to quadratic equation. A certain number is subtracted from 18 and from 13. the product of the two numbers obtained is 66. Find the first number​

Answer 1

x = 24 or 7

Explanation:

Given a number is subtracted from 18 and 13.

Let us call this number
`$ x $`.

From the given data we have
`$ x -18 $` and
`$ x - 13 $`.

The product of these two numbers is
`$ (x - 18) (x - 13) = 66 $`.

This leads us to the quadratic equation, mentioned in the question.

`$ \implies x^2 -13x -18x +(13)(18) = 66 $`.

`$ \implies x^2 - 31x + 168 = 0 $`

Solving for
`$ x $` we get
`$ x =24 $ or $x = 7$`