The product of a particular number and a second value, which is given by the sum of 8 and the original number, is 65. What is the number?

there are infinite values of sum X + Y = (Y + 65/Y) since there are infinite values of Y.

Step-by-step explanation:

XY = 65. Given that question is asking you find X + Y, it kind of indicates that there could be very limited possible values of X and Y which you can work out. Again it is an indication of such silly questions. It need not be true that you have limited solutions.

One such solution is represented here. I have assumed X and Y are positive integers only.

Factorize 65 = 65 x 1 or 13 x 5

Therefore (X,Y) can be (65,1) or (13,5) .

So X + Y = 66 or 18.

If we include negative integers as well ,

then XY = 65 => Factors are 65 x 1, 13 x 5 or (-13) x (-5) or (-65) x (-1)

So X + Y = -66 or -18 or 18 or 66.

In general,

XY = 65 => X = 65/Y (assuming Y is not 0 else XY would have been 0 too).

Therefore X + Y = Y + 65/Y.

If X, Y belong to real or complex numbers except 0,

there are infinite values of sum X + Y = (Y + 65/Y) since there are infinite values of Y.

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.