Question

) The sum of two numbers is 121 and their difference is 27. Find the numbers.​

Answer 1

Step-by-step explanation:

Problem 6: The product of two consecutive odd integers is equal to 675. Find the two integers.

Let x, x + 2 be the two integers. Their product is equak to 144

x (x + 2) = 675

Expand to obtain a quadratic equation.

x 2 + 2 x - 675 = 0

Solve for x to obtain two solutions

x = 25 or x = -27

if x = 25 then x + 2 = 27

if x = -27 then x + 2 = -25

We have two solutions. The two numbers are either

25 and 27

or

-27 and -25

Check that in both cases the product is equal to 675.