# The sum of two numbers is 48. The difference of the same two numbers is 24. What are the numbers?

### 17 Answers

- liberalLv 62 months ago
12 and 36

Add them up: 12 + 36 = 48 (your sum)

Subtract them: 36 - 12 = 24 (difference)

- Login to reply the answers

- KrishnamurthyLv 72 months ago
x + y = 48

x - y = 24

x = 36, y = 12

The two numbers are 36 and 12.

- Login to reply the answers

- 2 months ago
Let's do some algebra.

We can express this as a quadratic, via taking the 4th root of unity of the difference between 48 and 24, which is 24.

Then, applying Vieta's Formulas, and phi(48)+phi(24) (phi is totient function), we get

x^2 - 48 x + 432 = 0

Solve the quadratic, the two roots are your answer.

- Login to reply the answers

- How do you think about the answers? You can sign in to vote the answer.
- Engr. RonaldLv 72 months ago
x + y = 48

x - y = 24

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

2x = 72

x = 36 answer//

solve for y from eq 1

x + y = 48

36 + y = 48

y = 48 - 36

y =12 answer//

- Chewue2 months agoReport
My boi got the skills!

- Login to reply the answers

- ComoLv 72 months ago
x + y = 48

x - y = 24______add

2x = 72

x = 36

y = 12

Numbers are 12 and 36

- Login to reply the answers

- sepiaLv 72 months ago
The sum of two numbers is 48.

The difference of the same two numbers is 24.

x + y = 48

x - y = 24

x = 36, y = 12

The two numbers are 36 and 12.

- Login to reply the answers

- PuzzlingLv 72 months ago
Let a be the bigger number

Let b be the smaller number

a + b = 48

a - b = 24

Add the two equations

2a = 72

a = 72/2

a = 36

Then plug that into either equation to figure out b:

36 + b = 48

b = 48 - 36

b = 12

Answer:

36 and 12

- Login to reply the answers

- billrussell42Lv 72 months ago
a + b = 48

a – b = 24

add

2a = 72

a = 36

b = 48 – a = 12

- Login to reply the answers