The sum of two numbers is 58. If their difference is 28, find both numbers

the numbers are 43 and 15

Step-by-step explanation:

Let the numbers are x and y

x+y=58

x-y=28

from that two equations,

2x=86

x=43

substitute x value in any equation we will get,

y=15

x = 43 and y = 28

Step-by-step explanation:

Consider two number x and y such that x + y = 58 and x - y = 28

from equation (2) x = y + 28

now, we substitute x by y + 28 in equation (1) we get:

x + y = 58 means y + 28 + y = 58 the. 2y + 28 = 58 then y = 30/2 = 15

since, x = y + 28 then x = 15 + 28 = 43