Question 845311: when 25 is added to a number and the result is halved, the answer is 3 times the original number. what is the number? Found 2 solutions by pmesler, MathTherapy:Answer by pmesler(52) (Show Source): You can put this solution on YOUR website! Let x = the number.
The wording in the question is a little tricky, but if you read it carefully it just says to add 25 to a number x. The result will be 3 times that number and then halved. That's the simple way of restating the problem. Mathematically we can write it like this:
x + 25 = 3x/2. Now we just solve for x.
We start by subtracting x from both sides since 1 is less than 3/2.
we get 25 = 1/2x
To solve for x we need to multiply each side by the reciprocal of 1/2 which is 2/1 or 2. We do this so the numerator and denominators divide out and you're just left with x.
(2)25 = (1/2x)(2)
50 = x
Therefore the number is 50. Let's check to see if that's correct. We do this by substituting 50 into the original equation like this:
50 + 25 = 3/2(50)
75 = 150/2
75 = 75. It checks out so x = 50 is the correct answer. Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!
when 25 is added to a number and the result is halved, the answer is 3 times the original number. what is the number?
The number is:
You can do the check!!
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