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Question 526488: Five more than four times a number is that number increased by 20.
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! Let X represent the unknown number. Then 4 times this unknown number is 4X. 5 more than 4 times the unknown number is 4X + 5. And you are told that this equals the unknown number increased by 20 which is X + 20. So you can write this in equation form as:
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4X + 5 = X + 20
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Collect the X terms on the left side. You can do this by subtracting X from both sides of this equation to get:
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3X + 5 = 20
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Get rid of the +5 on the left side by subtracting 5 from both sides and the result is:
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3X = 15
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Solve for the unknown number by dividing both sides by 3 and the answer is:
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X = 5
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Check by taking 4 times this answer to get 20, then adding 5 to get 25, and making sure that this equals 20 plus the unknown value now known to be 5. It checks out to be 25 in both cases, so the answer is correct.
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Hope this helps you understand the problem and the process for solving it.
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