Question

Lara chooses a number less then 20 she divided it by 2 and then adds 6 she then divides this result by 3 her answer is 4.5 what was the number she started with ?

Answer 1

For questions like this, we will work backward to arrive at the initial number.

Start with the final answer. The answer is 4.5.

[divided by 3,] so we will multiply by 3
4.5 x 3 = 13.5

[Add 6], so we will subtract 6
13.5 - 6 = 7.5

[divided by 2], so we will multiply by 2
7.5 x 2 = 15

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Answer: The initial number is 15.
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Answer 2

The number she started with is 15 which is less than 20.

It is given that Lara chooses a number less than 20. She divided it by 2 and then adds 6 she then divides this result by 3 her answer is 4.5

It is required to find the number she started with.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line. If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

Let's suppose the number is 'x'

x<20

$\rm \frac{\frac{x}{2} +6}{3} =4.5$  (From the question)

$\rm {\frac{x}{2} +6}{} =4.5\times3\\\\\rm {\frac{x}{2} +6}{} =13.5\\\\\rm \frac{x}{2}=13.5-6\\\\ \rm x=7.5\times2\\\\\rm x=15$

Thus, the number she started with is 15 which is less than 20.

Learn more about the linear equation.

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