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Word problemsArithmeticMiddle schoolabout 0:57

Two thirds of a number is 24. Find the number: animated lesson

A narrated, step-by-step word problems video lesson with captions. Final answer: The number is 36.

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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
Two thirds of a number is 24. Find the number.
2. Step by step
1. Read the problem
2. Solve the linear equation
3. The answer
$\text{The number is 36}$
The number is 36
4. Check
- Substitute x = 36: (2/3)*(36) = 24 ✓

Transcript

The problem. Here is the problem: Two thirds of a number is 24. Find the number. Let x be the number: “2 thirds of a number” becomes (2 over 3) times x.

Step by step. Read the problem. Let x be the unknown number. “2 thirds of a number is 24” translates to (2 over 3) times x equals 24. Solve the linear equation. 0.6666666667x plus 0 equals 24 → x equals (24 minus 0) / 0.6666666667 equals 36.

The answer. So the answer is The number is 36. Let x be the number: “2 thirds of a number” becomes (2 over 3) times x.

Check. Substitute x equals 36: (2 over 3) times (36) equals 24, which checks out.

About word problems

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

Two thirds of a number is 24. Find the number (Lesson)