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

Answer:

x = 24 or 7

Step-by-step 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 $x =24 or x = 7$