Question

Two positive numbers have a difference of 8 and a product of 33. What are these numbers?

Answer 1

Only whole number factors of 33 are 3 and 11.

Answer 2

Now where's my medal? XD

Answer 3

let the first number be x
hence other will be x+8
According to the question we have
x(x+8) =33
i.e. \[x^2+8x -33= 0\]
\[x^2+11x-3x -33= 0 \rightarrow x(x+11) -3(x +11)= 0\]
\[ \rightarrow (x+11) (x -3)= 0\]
i.e. (x+11) =0 or (x -3)= 0
i.e. x=-11 or x=3
since x is positive
therefore,
\[x \neq -11\]
x= 3
x+8= 3+8= 11
hence the two positive numbers are 3 and 11

VERIFICVATION;
Difference: 11-3=8
Product: 11*3 =33

@serrabrana

Answer 4

@serrabrana

Answer 5

Where is my medal? XD

Answer 6

*waits*