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Word problemsArithmeticMiddle schoolabout 0:50

Twice a number decreased by 3 is 11. Find the number: animated lesson

A narrated, step-by-step word problems video lesson with captions. Final answer: The number is 7.

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Video with a synthetic English voice and captions. Pick another language for subtitles in that language, or open the interactive version.

Video narrated by a synthetic voice (Piper TTS, en_US-ljspeech-high voice (LJ Speech dataset, public domain)); the steps come from our maths engine and the answer was checked independently. Download MP4 (0.3 MB) · Captions (WebVTT)

Steps on screen

1. The problem
Worked example
Twice a number decreased by 3 is 11. Find the number.
2. Step by step
1. Read the problem
2. Solve the linear equation
3. The answer
$\text{The number is 7}$
The number is 7
4. Check
- Substitute x = 7: (2)*(7) - 3 = 11 ✓

Transcript

The problem. Here is the problem: Twice a number decreased by 3 is 11. Find the number. Let x be the number: “2 times a number decreased by 3” becomes (2) times x minus 3.

Step by step. Read the problem. Let x be the unknown number. “2 times a number decreased by 3 is 11” translates to (2) times x minus 3 equals 11. Solve the linear equation. 2x minus 3 equals 11 → x equals (11 plus 3) / 2 equals 7.

The answer. So the answer is The number is 7. Let x be the number: “2 times a number decreased by 3” becomes (2) times x minus 3.

Check. Substitute x equals 7: (2) times (7) minus 3 equals 11, which checks out.

About word problems

Turn everyday situations about prices, speed, ages and interest into equations and solve them.

Twice a number decreased by 3 is 11. Find the number