Question 845311
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.