Answer:
The two numbers are 35 and 73.
Step-by-step explanation:
We can solve this problem by creating two simultaneous equations using the information given.
Let number 1 = x
Let number 2 = y
x = y - 38 -> ( 1 )
x + y = 108 -> ( 2 )
We can solve simultaneous equations using substitution or elimination. For this question, we will use substitution as it is the easier and shorter option.
Substitute ( 1 ) into ( 2 ):
x + y = 108 -> ( 2 )
( y - 38 ) + y = 108
2y - 38 = 108
2y = 146
y = 146 / 2
y = 73 -> ( 3 )
Substitute ( 3 ) into ( 1 ):
x = y - 38 -> ( 1 )
x = ( 73 ) - 38
x = 35
Therefore:
x = 35 , y = 73
