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Answer :
Final answer:
To solve this problem, set up an equation by translating the sentence. Solve the equation to find the value of the number.
Explanation:
To solve this problem, let's translate the given sentence into an equation. Let's assume the number is represented by 'x'.
Five times the number is equal to 5x, and nineteen less than five times a number is 5x - 19.
Three times the number is equal to 3x, and eleven more than three times the number is 3x + 11.
Setting up the equation, we have: 5x - 19 = 3x + 11.
Solving for x, we subtract 3x from both sides, giving us 2x - 19 = 11. Then, we add 19 to both sides, giving us 2x = 30. Finally, we divide both sides by 2, giving us x = 15.
So, the number is 15.
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