Question

The product of two numbers is 1856. The sum is ninety. What is the difference of these two numbers?

a. 30
b. 28
c. 26
d. 24

Answer 1

Answer is 26:

58 x 32 is 1856

58 + 32 is 90

and 58 - 32 is 26!

hope it helped!

Answer 2

Answer: The correct options is

(c) 26.

Step-by-step explanation: Given that the product of two numbers is 1856 and their sum is 90.

We are to find the difference of the two numbers.

Let x and y represents the given numbers.

Then, according to the given information, we have

`xy=1856,\\\\x+y=90.`

We will be using the following formula :

`(a-b)^2=(a+b)^2-4ab.`

We have, for x and y,

`x-y\\\\=√((x+y)^2-4xy)\\\\=√(90^2-4*1856)\\\\=√(8100-7424)\\\\=√(676)\\\\=26.`

Thus, the required difference of the two numbers is 26.

Options (c) is CORRECT.