The Sum Of Two Numbers Is 36 And Their Product Is 320, What Are The 2 Numbers?

2 Answers

Anonymous Profile
Anonymous answered
You can also set this up as an algebraic equation.

First decide what variables you want to use, I am going to chose X and Y.

So, my two numbers are X and Y

I also know from the question that their sum is 36, so ....

X + Y = 36

I also know that their product is 320, so ...

X.Y = 320

Now you have simultaneous equations.  To deal with these you want to take one equation, and isolate one variable.

Using X + Y = 36

I will isolate X, so ....

X = 36 - Y

Now I want to substitute this into my second equation of X.Y = 320

(36 - Y).Y = 320

Expand ....

36Y - Y^2 = 320

Y^2 - 36Y -320 = 0

Y = (-b +- square root of b^2 - 4ac)/2a

When you solve using this method, there are two values of Y .... And by substitution the two values of X

16 and 20

Oddman Profile
Oddman answered
They would be factors of 320
10*32 = 320  (10+32 = 42)
20*16 = 320  (20+16 = 36)
The two numbers are 16 and 20.

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