Question

What two numbers add to get 120 and subtract the same two number to get negative 22?

Answer 1

Let the two numbers be 'x' , 'y' ,
Given x+y = 120--------(1) , x-y = -22-----(2)
Now , (1)+(2) = x+y=120
                (+)  x-y = -22
⇒2x = 98
⇒x=98/2 = 49
Now , from (1), x+y=120
⇒49+y = 120
⇒y = 120-49 = 71
Therefore , the two numbers are 49 and 71 .

Answer 2

let the two numbers be x and y
now from the given data
x+y=120...........(1)
x-y=-22.........(2)
we cen do this sum by  either of the two methods namely elemenation and susbstitution
elemenation method
(1)+(2)
x+y=120
x-y=-22
⇒2x=98
x=98/2
x=49
(1)
x+y=120
49+y=120
y=120-49
y=71
therefor the two numbers are 49 and 71 
PLEASE MARK IT AS THE BEST