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

해법

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

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

솔루션 단계

Represent the number with

x

A.T.Q.:

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

x

해결 대상

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

부적절한 분수를 혼합 숫자로 변환:

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

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