The difference between two numbers is 1, and the sum of their squares is 141. What is the product of the numbers?

Answer 1

product is 70

Let the two numbers = x and y

x-y = 1

x^2 + y^2 = 141

square the 1st equation

(x-y)^2 = 1^2

x^2 -2xy + y^2 = 1 subtract from the 2nd equation to get

2xy= 140 divide by 2

xy = 140/2 = 70