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quester [9]
3 years ago
13

Aiden wrote a riddle: Five less than 1/5 times a number is the same as the sume of the number and 1/3. Find the number.

Mathematics
1 answer:
Brrunno [24]3 years ago
7 0

The number is -6.67

<em><u>Solution:</u></em>

Let "n" be the number

From given,

\text{ Five less than 1/5 times a number } = \frac{1}{5}n - 5 = \frac{5}{n} - 5

\text{Sum of number and 1/3 } = n + \frac{1}{3} =\frac{3n+1}{3}

Given that,

Five less than 1/5 times a number is the same as the sum of the number and 1/3

Therefore, we get,

\frac{n}{5} - 5 = n + \frac{1}{3}\\\\Simplify\ the\ expression\\\\n - 25 = 5(n + \frac{1}{3})\\\\n - 25 = 5n + \frac{5}{3}\\\\n - 25 = \frac{15n + 5}{3}\\\\3n - 75 = 15n + 5\\\\12n = -80\\\\n = -6.67

Thus the number is -6.67

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