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Five times a number is divided by $7$ more than the number. If the result is $2$, then what was the original number?

User Nique
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2 Answers

3 votes

Final answer:

To find the original number, we need to solve the equation (5x)/(x+7) = 2. After solving the equation, we find that the original number is 14/3 or approximately 4.67.

Step-by-step explanation:

To solve this problem, let's assume the original number is x.

According to the problem, 5 times the number is divided by 7 more than the number and the result is 2.

So, we can write the equation as (5x)/(x+7) = 2.

To find the original number, we need to solve this equation.

Now let's solve the equation.

Multiplying through by (x+7), we get 5x = 2(x+7).

Expanding the equation, we get 5x = 2x + 14.

Subtracting 2x from both sides, we get 3x = 14.

Dividing both sides by 3, we get x = 14/3.

Therefore, the original number is 14/3 or approximately 4.67.

User Johny T Koshy
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7.8k points
2 votes
4.67 but there is no whole number it will be continues 4.67=2.0008 and 4.66=1.9982 so you can pick the closest which is 4.67
User Charybr
by
8.1k points
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