The sum of two numbers is 35.their difference is 65. find the numbers.

-15 and 50

Step-by-step explanation:

Hello, I think  I can help you with this,

Step 1

Let

a, number 1

b, number 2

According to the question data.

a+b=35, equation (1)

a-b=65, equation (2)

Step 2

isolate a from equation (1) and replace in equation (2)

a+b=35

a=35-b,equation (3)

replacing in eq(2)

35-b-b=65

solve for b

35-2b=65

-2b=65-35

-2b=30

b=30/-2

b=-15

Step 3

put the value of b into equation(3) to find a

a=35-b

a=35-(-15)

a=35+15

a=50

Hence, the numbers are -15 and 50

Have a great day.