Question

The sum of a number and its half is 33 what is the number​

Answer 1

Question:-

The sum of a number and its half is 33. What is the number?

Answer:-

(See the pinned image)

Your final answer is 22 and 11.

Answer 2

AnswEr :

• The required numbers is 22 and 11 respectively.

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Explanation :

We are given with the sum of a number and it's half is 33.

We have to find out the required numbers.

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Let us consider that, the number is "x".

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As it is given that, the sum of a number and it's half is 33.

→ x + x/2 = 33

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According to the given question :

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$\sf{:\implies x + \dfrac{x}{2} = 33}$

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$\sf{:\implies \dfrac{2 \times x + 1 \times x}{2} = 33}$

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$\sf{:\implies \dfrac{2x + 1 \times x}{2} = 33}$

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$\sf{:\implies \dfrac{2x + x}{2} = 33}$

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$\sf{:\implies \dfrac{3x}{2} = 3}$

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$\sf{:\implies 3x = 33 \times 2}$

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$\sf{:\implies 3x = 66}$

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$\sf{:\implies x = \cancel\dfrac{66}{3} }$

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$\sf{:\implies \boxed{ \pink{ \frak{x = 22}}}}$

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Therefore,

The numbers will be,

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• x = 22.

• x/2 = 22/2 = 11.

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Hence, the required numbers is 22 and 11 respectively.