Question

what are those two numbers whose sum is 58 and difference is 28

Answer 1

Let the two numbers be x and y

According to the question,

x+y=58- - - - - - - - - (1)

x-y=28 - - - - - - - - - - (2)

Subtracting (1) and (2)

x+y=58

(-)x-y=28

We get,

2y=30

y=15

Substitute y in (2)

         
We get,

x-15=28

x=28+15

x=43

Therefore,

The two numbers are 43 and 15.

Answer 2

Let x and y be the two nos and x>y
Then, x+ y = 58 __(i)
And, x- y = 28__(ii)

Now, adding i and ii
2x = 86
x = 43
So, y = 58 - 43
y = 15
Hence the nos are 15 and 43