Question 574751: please help me solve this problem A number is increased by 2 thirds of the number is 35. find the number Answer by bucky(2189) (Show Source):
You can put this solution on YOUR website! Let N be the unknown number.
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"Increased by 2 thirds of the number" means find 2 thirds of N and add it to (or increase) N by it.
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So we have N and increase it by 2 thirds N, and this translates to:
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N + (2/3)N
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According to the problem, this equals 35. So we have an equation:
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N + (2/3)N = 35
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We can get rid of the denominator 3 by multiplying both sides (all terms) by 3 and we then have:
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3N + 2N = 105
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Adding together both terms on the left side reduces the equation to:
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5N = 105
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Solve for N by dividing both sides of this equation by 5 to get:
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N = 105/5 = 21
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That's the answer. The number is 21. 1 third of 21 is 7 so 2 thirds of 21 is 14. When you increase the number (21) by 2 thirds of 21 it is:
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21 + 14
and this equals 35, just as the problem says it should.
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Hope this helps you to understand this problem and how you can solve it.
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