Question 178261: I think of a number halve it and subtract 1 from it. The result is double the amount obtained by dividing the number by 3 and subtracting 4 from it. Find the number ?
Answer by EMStelley(208)   (Show Source):
You can put this solution on YOUR website! Ok. Let's call the number you think of x. Then if you halve it and subtract 1 from it, that is
If the result is double the amount obtained by dividing the number by 3 and subtracting 4 from it, that would be
So, we have
Now, I am going to distribute through the 2 on the right hand side:
=(2/3)x-8}}}
Now I am going to subtract x/2 from both sides:
Now, add 8 to both sides:
Now, we need to find a common denominator for the right hand side, which is 6. So I will transform each question:
Lastly, we divide both sides by (1/6), which is the same as multiplying both sides by (6/1). So,
Thus the number you thought of is 42.
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