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If 1 is subtracted from a number and this difference is tripled the result is 13 more than the number find the number

User Balaji
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1 Answer

2 votes

Explanation:

The problem statement can be translated into an equation. It says that "1 is subtracted from a number (x)," which can be represented as (x - 1). Then, it says that this difference is tripled, so we have 3 times (x - 1). Finally, it states that the result is 13 more than the number, which is equal to x + 13.

Putting it all together:

3(x - 1) = x + 13

Now, we can solve for x:

Distribute 3 on the left side of the equation:

3x - 3 = x + 13

To isolate x, we can subtract x from both sides:

3x - x - 3 = 13

2x - 3 = 13

Add 3 to both sides:

2x = 16

Finally, divide by 2:

x = 8

So, the number is 8.

User Jgreve
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