Question

Mike thought of a number. He halved it, then added 9. The answer was 45.
What number did Mike think of?​

Answer 1

Answer :-

• Mike thought of the number 72.

To find :-

• The number Mike thought of.

Step-by-step explanation :-

• It is given that Mike thought of a number. He halved it and then added 9. The answer was 45. We have to find the number he thought of.

Let :-

• The number Mike thought of be "x".

Half the number x is :-

• x/2.

Adding 9 to it :-

• The result is x/2 + 9.

It is given that :-

• The answer Mike gets is 45.

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Therefore :-

$\longmapsto \sf\dfrac{x}{2} + 9 = 45$

$\sf\longmapsto \dfrac{x}{2} = 45 - 9$

$\sf\longmapsto \dfrac{x}{2} = 36$

$\sf\longmapsto x = 36 \times 2$

$\longmapsto \underline{\boxed{\sf x = 72}}$

Hence :-

• Mike thought of the number "72".

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V E R I F I C A T I O N

• To check our answer, we will first find half of the number 72, add 9 to it and see whether our answer is 45.

The number is :-

$\hookrightarrow\tt72$

Halving it,

$\hookrightarrow\tt\dfrac{72}{2} = 36$

Adding 9 to 36,

$\hookrightarrow \tt45$

We see that :-

• The answer is 45.

Hence verified!

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Answer 2

Answer:

I thick it is number 72 it might be correct