Question

the sum of two numbers is 25 and their difference is 19.find the numbers

Answer 1

Their sum is 25

1)x + y = 25

Their difference is 19

2) x - y = 19

x = 19 + y

plugging that in to the first equation:

(19 + y )+ y = 25

19 + y + y = 25

19 + 2y = 25

2y = 6

y = 3

now just plug that into one of the equations:

x + y = 25

x + 3 = 25

x = 22