The sum of two numbers is 59 and the difference is 21. What are the numbers? Larger number:
Smaller number: 0
2.

  The larger number is 40.

The smaller number is 19

Step-by-step explanation:

x + (x-21) = 59   This is the number and the  number difference add to 59.

x + x = 59 + 21    Add 21 to both sides. Combine like terms.

2x = 80  divide both sides by 2

x= 40 This is the first number.  Subtract 21 to get the second number

40 - 21 = 19

The difference between 40 and 19 is 21.

19 + 40 = 59

Not sure why this is in the question "Smaller number: 0

2.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!