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Kathi starts with a number . She adds 3 to her number, then doubles the result. Finally , she subtracts 7. If she ended with 9, what number did she start with ?

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hannah152
The number she started with is 5.

Answer:  The required number is 5.

Step-by-step explanation:  Given that Kathi starts with a number, she adds 3 to her number and then doubles the result. Finally , she subtracts 7 and she ended with 9.

We are to find the number.

Let n represents the required number.

Then, according to the given information, we have

[tex]2\times(n+3)-7=9\\\\\Rightarrow 2(n+3)=9+7\\\\\Rightarrow 2(n+3)=16\\\\\Rightarrow n+3=\dfrac{16}{2}\\\\\Rightarrow n+3=8\\\\\Rightarrow n=8-3\\\\\Rightarrow n=5.[/tex]

Thus, the required number is 5.

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