The sum of two numbers is -61. one number is 35 more than the other. find the number

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

b

step-by-step explanation: