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Popular >

determines a natural number such that the sum of its third part and its double is 10 is equal to triple the number itself

Solution

determines a natural number such that the sum of its third part and its double is 10 is equal to triple the number itself

Solution

The number : 7 \frac{1}{2}

Solution steps

Represent the number with

x

A.T.Q.:

x \frac{1}{3} + 2 \cdot 10 = 3 x

Solve for

x, x \frac{1}{3} + 2 \cdot 10 = 3 x : x = \frac{15}{2}

Convert improper fractions to mixed numbers:

\frac{15}{2} = 7 \frac{1}{2}

The number : 7 \frac{1}{2}

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