Answer:
26 and 27
Step-by-step explanation:
Let the numbers be x and y
x + y = 53
xy = 702
x = 702/y
702/y + y = 53
Multiply through by y
702 + y^2 = 53y
y^2 - 53y + 702 = 0
y^2 - 27y - 26y + 702 = 0
y(y - 27) - 26(y - 27) = 0
(y - 27) (y - 26) = 0
y = 26 or 27
Solve for x in x + y = 53
if y = 26,
x = 53 - 26 = 27
if y = 27,
x = 53 - 27 = 26
The numbers are 26 and 27
