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

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03-04-2015
Mathematics

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

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RedRicin RedRicin · Answer 1 · 2015-04-03T03:26:30+02:00

RedRicin RedRicin

03-04-2015

[tex] \frac{1}{5} n- 5 = n + \frac{1}{3} [/tex]

Simplify.

[tex]n - 25 = 5n + \frac{5}{3} [/tex]

[tex]-4n = 25 + \frac{5}{3} [/tex]

[tex]-12n = 75 + 5[/tex]

[tex]-12n = 80[/tex]

[tex]n = -6 \frac{2}{3}\ or\ -\frac{20}{3}[/tex]

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