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Difference and Multiple Problems Calculator

Online difference-and-ratio word problem solver. Enter the difference and the multiple relation to find the larger and smaller numbers, with a step-by-step model—great for elementary word problems.

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Smaller=difference/(k−1); Larger=smaller×k
小1份差=k−1份
Larger minus smaller
Multiple above 1

📖 Tutorial | Difference and Multiple

1. Definition
Given the difference and how many times one number is, find both.
2. Formula & Notation
kMultiple
PartsDifference is k−1 parts
3. Properties & Laws
  • Smaller=difference/(k−1);
  • Larger=smaller×k;
  • k must exceed 1;
  • At k=1 difference is 0.
4. Steps
  1. Enter difference d and k;
  2. Click "Calculate";
  3. Or click "Load Example".
5. Worked Examples
Example: difference 24, k=4.
Solution: smaller 8, larger 32.
6. Common Pitfalls
Divide by k−1;
k above 1;
Difference by subtraction.

❓ FAQ | Difference and Multiple

Difference-multiple problem?
Given difference and times, find both.
Diff24 k4?
8 and 32.
Why k−1?
Difference is k−1 parts.
k=1?
Difference must be 0.
Verify?
Diff 24, ratio 4.
Larger?
Smaller×k.