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,
\(x-y\\\\=\sqrt{(x+y)^2-4xy}\\\\=\sqrt{90^2-4\times1856}\\\\=\sqrt{8100-7424}\\\\=\sqrt{676}\\\\=26.\)
Thus, the required difference of the two numbers is 26.
Options (c) is CORRECT.
