The product of two numbers is 266 and their difference is 5. What is the bigger number ?

19

Let the 2 numbers be x and y. So, according to the question, xy = 266 and x - y = 5.

If, xy = 266, so, y = \(\frac{ 266}{x }\)

Putting the value of y, we get = x - \(\frac{ 266}{x }\) = 5

x² - 266 = 5x

x² - 5x - 266 = 0

x² - 19x +14x - 266 = 0

x( x - 19) + 14( x - 19) = 0

(x - 19) + (x + 14) = 0

x = 19, -14 

If x = 19, then y = 14 and if x = -14, then y = - 19

According to the opotions, answer is 19