The 差 between two numbers is 103. Seven times the smaller is equal to 5 more than the larger. What are the numbers?

解

T h e d i ff ere n ce b e tw ee n tw o n u mb ers i s 103. S e v e n t im es t h e s ma ll er i s e q u a l t o 5 m ore t han t h e l a r g er . Wha t a re t h e n u mb ers ?

The numbers : - 16 \frac{1}{3}, - 119 \frac{1}{3}

解答ステップ

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

x - y = 103

7 x = 5 + y

x - y = 103, 7 x = 5 + y : x = - \frac{49}{3}, y = - \frac{358}{3}

仮分数を帯分数に変換する:

\frac{49}{3} = 16 \frac{1}{3}

仮分数を帯分数に変換する:

\frac{358}{3} = 119 \frac{1}{3}

The numbers : - 16 \frac{1}{3}, - 119 \frac{1}{3}