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인기 있는 Word Problems >

The sum of three numbers is 12 . The third is 6 more than 8 times the second. 7 times the first is 8 less tha 6 times the second. Find the numbers. Show your work here

해법

T h e s u m o f t h ree n u mb ers i s 12 . T h e t hi r d i s 6 m ore t han 8 t im es t h e seco n d . 7 t im es t h e f i rs t i s 8 l ess t ha 6 t im es t h e seco n d . F in d t h e n u mb ers . S h o w yo u r w or k h ere

해법

The numbers : - \frac{12}{23}, \frac{50}{69}, 11 \frac{55}{69}

솔루션 단계

Represent the numbers with

x, y, z

:

number 1 : x

number 2 : y

number 3 : z

A.T.Q.:

x + y + z = 12

z = 6 + 8 y

7 x = 6 y - 8

x + y + z = 12, z = 6 + 8 y, 7 x = 6 y - 8 : x = - \frac{12}{23}, y = \frac{50}{69}, z = \frac{814}{69}

부적절한 분수를 혼합 숫자로 변환:

\frac{814}{69} = 11 \frac{55}{69}

The numbers : - \frac{12}{23}, \frac{50}{69}, 11 \frac{55}{69}

인기 있는 예

savings account is set up, so that the simple interest earned on the investment is moved into separate account at the end of each year. If an investment of $7000 accumulate $910 of interest in the account after 2 years, what was the annual simple interest rate on the savings account?The sum of two consecutive odd numbers is 48 . Find the two numbers.Three less than a number is twelve.the sum of two numbers is 9 and the sum of their squares is 41. find the two numbers The 차이 between the squares of two consecutive integers is 29