Answer:
The two numbers are 13 and 48.
Step-by-step explanation:
We can create two simultaneous equations to solve this question using the information given.
Let number 1 = x
Let number 2 = y
x + y = 61 -> ( 1 )
x = y + 35 -> ( 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 ( 2 ) into ( 1 ):
x + y = 61 -> ( 1 )
( y + 35 ) + y = 61
2y + 35 = 61
2y = 26
y = 26 / 2
y = 13 -> ( 3 )
Substitute ( 3 ) into ( 2 ):
x = y + 35 -> ( 2 )
x = ( 13 ) + 35
x = 48
Therefore:
x = 48 , y = 13
