AI Word Problem Solver
The hardest part of a word problem is rarely the arithmetic; it is turning the story into math. This AI word problem solver identifies the unknowns, writes the equation and then solves it in stages.
How a story becomes an equation
The solver reads the problem as data and follows the same routine a good teacher would teach: list what you know, name what you want, find the relationship between them, solve, then test the answer against the story. Paste the entire question, including units, because a missing number makes the equation impossible.
Common word-problem families
- Speed, distance and time: distance = speed × time.
- Money and tickets: total = price × quantity, summed across items.
- Percentages and discounts: a 20% discount means you pay 80%.
- Ratios and sharing: split a total in proportion.
- Ages and numbers: relate one quantity to another with a given difference or multiple.
For a slower, general method read how to solve word problems. When the setup gives two equations, continue in the system of equations solver.
Check that the answer makes sense
A solution can satisfy the equation yet be impossible in context, such as a negative number of tickets. Always read the answer back into the story: does the time, price or count fit what the question described?
Worked examples
Example 1: A train travels 180 km in 2.5 hours. What is its average speed?
- Use speed = distance ÷ time.
- Speed = 180 ÷ 2.5 = 72.
Final answer: 72 km/h
Example 2: A jacket costs $85 and is 20% off. What is the sale price?
- A 20% discount leaves 80% of the price.
- Multiply: 85 × 0.8 = 68.
- Saving: 85 − 68 = 17.
Final answer: $68 (a saving of $17)
Example 3: Adult tickets cost $8 and child tickets $5. 30 tickets were sold for $201. How many of each?
- Let a = adults. Then children = 30 − a.
- Revenue: 8a + 5(30 − a) = 201, so 3a + 150 = 201.
- Solve: 3a = 51, so a = 17. Children = 13.
- Check: 8(17) + 5(13) = 136 + 65 = 201 ✓
Final answer: 17 adult and 13 child tickets
Common mistakes to avoid
- Starting to calculate before defining the unknown.
- Using units that do not match, such as minutes with km/h.
- Applying a percentage to the wrong amount.
- Stopping when x is found without answering the question actually asked.
- Not checking the answer against the story.
Frequently asked questions
What types of word problems can it solve?
Algebra, ratio, percentage, speed, money, age and basic geometry problems. Give it the complete wording.
Can it solve word problems from a photo?
Yes. Use the scan button, check the recognised text carefully and then solve.
Will it explain how it set up the equation?
Yes. The setup, with the variable defined, is the first step in the written solution.
Can I use it in another language?
Yes. Pick your language from the switcher and the AI explanation will be written in it.
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AI-generated solutions are for learning purposes. Always verify important answers.