Question

When the sum of two whole numbers is multiplied by the difference of the numbers the result is 85 if the difference of the two numbers is not one what is there sum

Answer 1

Answer:

sum=17

Step-by-step explanation:

(a+b)*(a-b)=85

let a=11 and b=6

(11+6)*(11-6)=85

85=85

so the two whole numbers are 11 and 6

and, their sum is : 11+6=  17.

Answer 2

Answer:

Step-by-step explanation:

Let the two numbers be denoted by x and y.

1. (x + y) × (x - y) = 85

2. x - y =/= 1

From equation 1,

x^2 - y^2 = 85

x^2 = 85 + y^2

Let y^2 be a perfect square so, the RHS will give a perfect square greater than 85 hence, find x as a perfect square,

y = 6

x^2 = 85 + 36

x = sqrt(121)

= 11

(x + y) × (x - y) = 85

(11 + 6) × (11 - 6)

= 85