0

# If tom is thinking of two numbers their sum is 22 and the difference is 12 what are the numbers?

Updated: 10/18/2022

Wiki User

15y ago

Tom is thinking of two numbers? OK, we'll call them A and B.

We know the sum (adding) is 22.

So, A + B = 22.

The difference (subtracting) is 12, so

A - B = 12

Let's use substitution to help us.

Solve one equation for a variable, A or B. It doesn't matter.

A + B = 22

A = 22 - B

So A = 22 - B. We can plug this value of A into our other equation to figure out what B is.

A - B = 12 (remember to use parenthesis when you substitute)

(22 - B) - B = 12

And simplify.

22 -2B = 12

2(11-B) = 12

11-B = 6

-B = -5

B = 5.

Now that we found B, substitute it into either equation to find A.

however, we have an equation that tells us what A is.

A = 22 - B

A = 22 - 5

A = 17.

To check, plug A = 17 and B = 5 into both equations and see if it works.

A + B = 22

17 + 5 = 22

22 = 22 (check)

A - B = 12

17 - 5 = 12

12 = 12 (check)

Wiki User

15y ago

Earn +20 pts
Q: If tom is thinking of two numbers their sum is 22 and the difference is 12 what are the numbers?
Submit
Still have questions?
Related questions

### Tom picks 11 distinct numbers from 1 to 20 Prove that amongst the numbers selected are two whose difference is 10?

Use a direct proof; Suppose Tom minimises the largest difference between two numbers. For this to be true, Tom must pick consecutive numbers. If Tom picks 10 consecutive numbers the maximum difference must be 9. Given that tom picks one more number, there must be two numbers who differ by 10 for all selections.

### How can you stop laughing about Tom Jones?

stop thinking about Wayne Newton Engelbert Humperdinck and Tom Jones

Tom Clancy

Sum Tom

the tom part

### What is the difference between Tom Tom Home and Tom Tom One?

For a start...they both have different names.

### How can you stop focusing on Tom Jones and other singers that you like?

by not thinking about Tom Jones or the singers that you like

### What has the author Tom Gardiner written?

Tom Gardiner has written: 'Thinking for life' -- subject(s): Moral education

### Tom Cruise 'ice hockey' movie?

You are thinking about Rob Lowe in "Youngblood". Tom is too short for hockey.

### Who is tom leake?

the best person in the giant peanut i will eat him sum day.........................................: &gt;...................................: &gt;...............

10