the sum of two number is 26. the sum of 5 times the larger and 4 times the smaller is 127 find the numbers

해법

t h e s u m o f tw o n u mb er i s 26. t h e s u m o f 5 t im es t h e l a r g er an d 4 t im es t h e s ma ll er i s 127 f in d t h e n u mb ers

The numbers : 31 \frac{3}{4}, - 5 \frac{3}{4}

솔루션 단계

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

x + y = 26

4 x = 127

x + y = 26, 4 x = 127 : x = \frac{127}{4}, y = - \frac{23}{4}

부적절한 분수를 혼합 숫자로 변환:

\frac{127}{4} = 31 \frac{3}{4}

부적절한 분수를 혼합 숫자로 변환:

\frac{23}{4} = 5 \frac{3}{4}

The numbers : 31 \frac{3}{4}, - 5 \frac{3}{4}