Find two numbers based on sum, difference, product and quotient
Key points :
Understanding Each Operation:
- Sum: Adding two numbers together gives their sum. For example, if you have 2 apples and add 3 more, you get 5 apples in total.
- Difference: Subtracting one number from another gives their difference. For instance, if you have 5 apples and eat 2, you have 3 apples left.
- Product: Multiplying two numbers together gives their product. If you have 2 rows of 3 apples each, you have 6 apples in total (2 × 3 = 6).
- Quotient: Dividing one number by another gives their quotient. For example, if you have 6 apples and share them equally among 2 friends, each friend gets 3 apples (6 ÷ 2 = 3).
Finding Two Numbers:
- If you know any two of these operations (sum, difference, product, quotient), you can find the two numbers.
Learn with an example
⛳ The product of two numbers is 12. The difference of the two numbers is 1.
What are the two numbers?_____ and ____
- Think of pairs of numbers whose product is 12. Then find the difference of each pair.
| Product | Difference |
| 12 × 1 = 12 | 12 − 1 = 11 |
| 6 × 2 = 12 | 6 − 2 = 4 |
| 4 × 3 = 12 | 4 − 3 = 1 |
- The numbers are 4 and 3.
⛳ The sum of two numbers is 17. Their difference is 5.
What are the two numbers?____ and _____
- Think of pairs of numbers whose difference is 5. Then find the sum of each pair.
| Difference | Sum |
| 6 − 1 = 5 | 6 + 1 = 7 |
| 7 − 2 = 5 | 7 + 2 = 9 |
| 8 − 3 = 5 | 8 + 3 = 11 |
| 9 − 4 = 5 | 9 + 4 = 13 |
| 10 − 5 = 5 | 10 + 5 = 15 |
| 11 − 6 = 5 | 11 + 6 = 17 |
- The numbers are 11 and 6.
⛳ The product of two numbers is 66. The difference of the two numbers is 5.
What are the two numbers? ____and ____
- Think of pairs of numbers whose product is 66. Then find the difference of each pair.
| Product | Difference |
| 66 × 1 = 66 | 66 − 1 = 65 |
| 33 × 2 = 66 | 33 − 2 = 31 |
| 22 × 3 = 66 | 22 − 3 = 19 |
| 11 × 6 = 66 | 11 − 6 = 5 |
- The numbers are 11 and 6.
Let’s practice!🖊️
