If 3 times a number exceeds its 3/5 by 60, then what is the number?
Question
If 3 times a number exceeds its 3/5 by 60, then what is the number?
Solution
Let's denote the number as x.
According to the problem, 3 times the number exceeds its 3/5 by 60. We can write this as an equation:
3x = (3/5)x + 60
To solve for x, we first need to get rid of the fraction. We can do this by multiplying every term by 5:
15x = 3x + 300
Next, we subtract 3x from both sides of the equation to isolate x:
15x - 3x = 300
This simplifies to:
12x = 300
Finally, we divide both sides by 12 to solve for x:
x = 300 / 12
So, x = 25.
Therefore, the number is 25.
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