Verified answer

a+b=34

a-b=10

2a +b-b = 44

2a = 44

a = 22

b = 34-22 = 12

The two numbers, 22 and 12

Hard to believe that this is 5th grade math.

Call the numbers a and b:

a - b = 10 [they're different by 10]

a + b = 34 [their sum is 34]

You can add the equations to eliminate the b term:

a - b = 10

+(a + b = 34)

---------------

2a = 44

Divide both sides by 2:

a = 22

Put 22 into either original equation to solve for b:

22 + b = 34

Subtract 22 from both sides:

b = 12

The numbers are 22 and 12.

12 and 22

12, 22