Answer:
y = 49
x = 55
the numbers are 49 and 55
Step-by-step explanation:
let the numbers be x and y
the sum of the two number is 104 implies
x + y = 104
the difference of the two number is 6 implies
x - y = 6
so we will say that let
x + y = 104 .......................................... equation 1
x - y = 6.................................................... equation 2
from equation 2
x - y = 6.................................................... equation 2
x = 6 + y ....................................................... equation 3
put the value of x = 6 + y in equation 1
x + y = 104 .......................................... equation 1
6+y +y = 104
6 + 2y = 104
2y = 104-6
2y = 98
divide both sides by the coefficient of y which is 2
2y/2 = 98/2
y = 49
substitute for y = 49 in equation 3
x = 6 + y ....................................................... equation 3
x = 6 + 49
x = 55
therefore the two numbers are 55 and 49 respectively
