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Answer :
Final answer:
The question is about solving an algebraic equation. After translating the words into an equation, we end up with 6x - 13 = 4x + 11. Solving this equation gives us the number, which is 12.
Explanation:
To solve this algebraic statement, you have to convert the words into an equation that we can solve. 'Thirteen less than six times a number' translates to '6x - 13' and 'is equal to 11 more than four times the number' transforms to '4x + 11'. Therefore, the whole statement turns into an equation: 6x - 13 = 4x + 11.
To find the number, we need to solve this equation. By first moving '- 4x' to the left side of the equation and '- 13' to the right side, we get 6x - 4x = 11 + 13, which simplifies to 2x = 24. Dividing both sides of the equation by 2 gives us x = 12.
So, the number that satisfies the given statement is 12.
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