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 n

Question

3 years ago

7

umbers is not one what is there sum

2 answers:

zalisa [80] · Answer 1 · 2022-06-09T23:57:06+03:00

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

worty [1.4K] · Answer 2 · 2022-06-09T21:50:52+03:00

5 0

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.