If 50 is subtracted from two-third of a number, the result is half of the number. What is the number?
Question
If 50 is subtracted from two-third of a number, the result is half of the number. What is the number?
Solution
Let's denote the number as x.
According to the problem, two-thirds of the number minus 50 equals half of the number. This can be written as:
(2/3)x - 50 = (1/2)x
To solve for x, we first get rid of the fractions by multiplying every term by 6:
4x - 300 = 3x
Then, we isolate x by subtracting 3x from both sides:
x = 300
So, the number is 300.
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