# sum of two numbers

## 05 - Sum and Difference of Two Numbers Multiplied to Sum and Difference of Their Squares

**Problem**

Find two numbers such that their sum multiplied by the sum of their squares is 5500, and their difference multiplied by the difference of their squares is 352.

## 02 - Problems involving sum of two numbers

**Problem 3**

A man bought a cellphone and laptop for P50,000.00, paying three times as much for the laptop as for the cellphone. How much did each cost?

**Problem 4**

Two boys, counting their money, found that together they had P372, and that Rody had ﬁve times as much as Mar. How much had each?

## 01 - Problems involving sum of two numbers

**Problem 1**

The sum of two numbers is 120. If the greater number is four times the less, what are the numbers?

**Problem 2**

The greater of two numbers is twice the less, and the sum of the numbers is 96. What are the numbers?