9514 1404 393
Answer:
Step-by-step explanation:
If we let x and y represent "one number" and "another", respectively, then the given relations are ...
x = 5 +2y
xy = 1827
Substituting for x gives a quadratic in y:
(5 +2y)(y) = 1827
2y^2 +5y -1827 = 0 . . . . . written in standard form
We can use the quadratic formula to find the positive value of y that satisfies this:
y = (-5 +√(5² -4(2)(-1827)))/(2(2)) = (-5 +√14641)/4 = 116/4 = 29
x = 5 +2(29) = 63 . . . . using the above expression for x
The smaller number is 29; the larger number is 63.
