en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

The sum of two numbers is 78. Five times the smaller number is 12 less than twice the larger number. What are the numbers?

Solution

The sum of two numbers is 78. Five times the smaller number is 12 less than twice the larger number. What are the numbers?

Solution

The numbers : 20 \frac{4}{7}, 57 \frac{3}{7}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 78

5 x = 2 y - 12

x + y = 78, 5 x = 2 y - 12 : x = \frac{144}{7}, y = \frac{402}{7}

Convert improper fractions to mixed numbers:

\frac{144}{7} = 20 \frac{4}{7}

Convert improper fractions to mixed numbers:

\frac{402}{7} = 57 \frac{3}{7}

The numbers : 20 \frac{4}{7}, 57 \frac{3}{7}

Popular Examples

a man travels 180km from the farm to town. on the return journey he traveled 30km per hour faster. he saves one hour on the return journey. at what speed did he go to town Zweli wants to buy an ordinary annuity that pays R6 000 a year for the next 20 years. The expect annual interest rates will be 6% over that time period. what is the maximum of he will pay for annuity?The diameter of a circle is 16 ft. Find its area in terms of pipi.Tim has been saving for a down payment on a car. He invested 4,000 in an account earning 2.5% interest compounded semi-annually. After 7 years, he is ready to buy his new car. How much does he have in his account for a down payment?The area of a rectangular pool is 6716m^2 :If the width of the pool is 73m , what is its length?