es

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

One number is 6 times as large as another. The sum of their reciprocals is 49/6. Find the two numbers.

Solución

One number is 6 times as large as another. The sum of their reciprocals is 49/6. Find the two numbers.

Solución

The numbers : \frac{6}{7}, \frac{1}{7}

Pasos de solución

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 6 y

\frac{1}{x} + \frac{1}{y} = \frac{49}{6}

x = 6 y, \frac{1}{x} + \frac{1}{y} = \frac{49}{6} : x = \frac{6}{7}, y = \frac{1}{7}

The numbers : \frac{6}{7}, \frac{1}{7}

Ejemplos populares

Abby opened an account with a deposit of 3,000. She did not make any additional deposits or withdrawals. The account earns simple annual interest. At the end of 8 years, the balance of the account was 3,600. What was the annual interest rate on this account?What is the total interest to be paid on a 2 year \text{:3000} loan at 16% p.a. flat interest?An initial amount of \$3100 is invested in an account at an interest rate of 3.5% per year, compounded continuously. Assuming that no withdrawals are made, find the amount in the account after three years.Darren invests 4, 500 into an account that earns 5% annual interest. How much will be in the account after 10 years if the interest rate is compounded monthly?Janelle and some friends went out to dinner. The cost of the meal was 68.50. They left a 20% tip. What was the total cost of the dinner, including tip?