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Popular Word Problems >

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

d e t er min es a na t u r a l n u mb er s u c h t ha t t h e s u m o f i t s t hi r d p a r t an d i t s d o u b l e i s 10 i s e q u a l t o t r i pl e t h e n u mb er i t se l f

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}

Popular Examples

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