Find two numbers based on sum, difference, product, and quotient

key notes:

1️⃣ When the SUM is given ➕

• Sum means add the two numbers.
• If you know the sum and one number, you can find the other number by subtracting.
  👉 Other number = Sum − Known number
• Example: Sum = 20, One number = 8
  ➜ Other number = 20 − 8 = 12

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2️⃣ When the DIFFERENCE is given ➖

• Difference means subtract.
• If you know the difference and one number, use addition or subtraction:
  If the known number is bigger:
  👉 Other number = Known number − Difference
  If the known number is smaller:
  👉 Other number = Known number + Difference
• Example: Difference = 5, Bigger number = 15
  ➜ Smaller number = 15 − 5 = 10

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3️⃣ When the PRODUCT is given ✖️

• Product means multiply the two numbers.
• If you know the product and one factor, divide to find the other factor:
  👉 Other number = Product ÷ Known number
• Example: Product = 36, One number = 6
  ➜ Other number = 36 ÷ 6 = 6

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4️⃣ When the QUOTIENT is given ➗

• Quotient means division result.
• If you know the quotient and one number, find the other using multiplication:
  👉 Other number = Quotient × Known number
• Example: Quotient = 4, One number = 5
  ➜ Other number = 4 × 5 = 20

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🎯 IMPORTANT TIPS

Remember the inverse operations:

• Addition ↔ Subtraction
• Multiplication ↔ Division

Read the problem carefully to find:
✔️ What is given?
✔️ Which number is missing?

Use simple facts and tables to calculate quickly.

Always check your answer by reversing the operation.

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✏️ Quick Practice Example

Sum = 30
One number = 18
👉 Other number = 30 − 18 = 12

Learn with an example

Let’s practice!🖋️