Home

Sum and Difference Problems Calculator

Online sum-and-difference solver. Enter the sum and difference of two numbers to find the larger and smaller ones, with the full derivation shown—great for elementary arithmetic.

展开更多 ▾
Larger=(sum+difference)/2; Smaller=(sum−difference)/2
大数小数
Sum of the two
Non-negative difference

📖 Tutorial | Sum and Difference

1. Definition
Given the sum and difference of two numbers, find both.
2. Formula & Notation
Sum, differenceGiven values
Larger, smallerUnknowns
3. Properties & Laws
  • Larger=(sum+difference)/2;
  • Smaller=(sum−difference)/2;
  • Difference 0 means equal;
  • Verify against sum and difference.
4. Steps
  1. Enter sum s and difference d;
  2. Click "Calculate";
  3. Or click "Load Example".
5. Worked Examples
Example: sum 36, difference 8.
Solution: larger 22, smaller 14.
6. Common Pitfalls
Difference non-negative;
Sum+difference is two larger;
Do not swap them.

❓ FAQ | Sum and Difference

Sum-difference problem?
Given sum and difference, find both.
Sum36 diff8?
22 and 14.
Why divide by 2?
Sum+diff is two larger.
Diff 0?
Equal numbers.
Verify?
Check sum and difference.
Sum−diff?
Two smaller.