Answer:
The two numbers are 32 and 60.
Step-by-step explanation:
We can create two simultaneous equations to solve this problem using the information given in the question.
Let number 1 = x
Let number 1 = y
x = y - 28 -> ( 1 )
x + y = 92 -> ( 2 )
We can solve simultaneous equations using substitution or elimination. For this question, we will use substitution as it is the easier option.
Substitute ( 1 ) into ( 2 ):
x + y = 92 -> ( 2 )
( y - 28 ) + y = 92
2y - 28 = 92
2y = 120
y = 120 / 2
y = 60 -> ( 3 )
Substitute ( 3 ) into ( 1 ):
x = y - 28 -> ( 1 )
x = ( 60 ) - 28
x = 32
Therefore:
x = 32 , y = 60