Question

Aruna thinks of a number if she adds 12 to it and divides the sum by 3 she will get 8 find the number​

Answer 1

Answer:

12 is the answer

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Answer 2

• The number = 12.

Given :–

• Aruna thinks of a number, she adds 12 to it. She divides the sum by 3 and get 8.

To Find :–

• The number.

Solution :–

Let,

The number be x.

According to the question,

She adds 12 to it.

That means,

$\hookrightarrow \sf x + 12$

Then, she divides the sum by 3.

That means,

$\hookrightarrow \sf \dfrac{x + 12}{3}$

After dividing she get 8.

That means,

$\hookrightarrow \sf \dfrac{x + 12}{3} = 8$ ––––(1)

Now, solve it.

$\hookrightarrow \sf x + 12 = 8 \times 3$

$\hookrightarrow \sf x + 12 \times 24$

$\hookrightarrow \sf x = 24 - 12$

$\hookrightarrow \sf x = 12$

Hence

The number is 12.

Verification :–

Substitute the value of the number (x) in equation (1),

• x = 12.

$\hookrightarrow \sf\dfrac{x + 12}{3} = 8$

$\hookrightarrow \sf \dfrac{12 + 12}{3} = 8$

$\hookrightarrow \sf \cancel\dfrac{24}{3} = 8$

$\hookrightarrow \sf \dfrac{8}{1} = 8$

$\hookrightarrow \sf 8= 8$

Hence Verified !!