#### The problem given says that 2 unknown **numbers** are given, whose **sum** is equal to 25 **and the difference** is 10. Let's find the **two numbers**: When we add the **two numbers**: X + Y = 25. The **difference of two numbers**: X + Y = 10. Let's construct a constraint. **The sum of two numbers**. Let's call those **numbers** x and y. So their **sum**, x plus y, is equal to 70. 9). The **sum** of four **numbers** is 64. If you add 3 to the first **number**. 3 is subtracted from the second **number**,the third is multiplied by 3 and the fourth is divided by three, then all the results are equal.What is the **difference** between the largest and the smallest of the original **numbers**?.There are also special cases of right triangles, such as the 30° 60° 90, **45**° **45**° 90°,. Improper Fractions and Mixed **Numbers** . Definitions of Improper Fractions and Mixed **Numbers** In your pocket, you have five quarters. Their are **two** ways of mentioning your cash. The first way is five quarters or **5** /4 dollars. The second way is one dollar and a quarter or 1¼ dollars.

**The**

**sum**

**of**

**two**

**numbers**

**is**

**45**their

**difference**

**is**

**5**

**the**bigger

**number**

**is**25. Given : The

**sum**

**of**

**two**

**numbers**

**is**

**45**

**and**their

**difference**

**is**

**5**. To find : The bigger

**number**. Solution : Step 1 of 3: Assume the

**number**. Let smaller

**number**= x. Since the

**difference**

**is**

**5**. So bigger

**number**= x +

**5**. Step 2 of 3: Form the equation . Since the

**sum**

**of**

**two**. . "The

**sum of two numbers is 45**." translates to and "Their

**difference**is 9" translates to So we have the system of equations: Add the equations together. You can do this by simply adding the

**two**left sides and the

**two**right sides separately like this: Group like terms. Combine like terms. Simplify. Divide both sides by to isolate . Reduce.