One number is thrice more than four times another. If the sum of the numbers is 18, what are the numbers?

解

O n e n u mb er i s t h r i ce m ore t han f o u r t im es an o t h er . I f t h e s u m o f t h e n u mb ers i s 18, w ha t a re t h e n u mb ers ?

The numbers : 16 \frac{8}{13}, 1 \frac{5}{13}

解答ステップ

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

x = 3 \cdot 4 y

x + y = 18

x = 3 \cdot 4 y, x + y = 18 : x = \frac{216}{13}, y = \frac{18}{13}

仮分数を帯分数に変換する:

\frac{216}{13} = 16 \frac{8}{13}

仮分数を帯分数に変換する:

\frac{18}{13} = 1 \frac{5}{13}

The numbers : 16 \frac{8}{13}, 1 \frac{5}{13}