Question

Question #db6e3

Answer 1

The two numbers are -19 and 36.

Explanation:

Let the two numbers be `x` and `y`:

The difference of two numbers is -55, i.e.

`x-y = -55` ----------------- let this be equation (1)

and the sum of the same two numbers is +17, i.e.

`x+y = 17` -------------------let this be equation (2)

Adding equations (1) and (2):

`(x-y)+ (x+y) = -55+ 17`

`x-y+ x+y = -55+ 17`

`2x = -38`

`x = -19`

Substituting this value in equation(1) :

`-19-y = -55`

`-y = -55+19`

`-y = -36`

`y = 36`

So the numbers are -19 and 36.