en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Word Problems >

The difference between two numbers is 103. Seven times the smaller is equal to 5 more than the larger. What are the numbers?

Solution

T h e d i ff ere n ce b e tw ee n tw o n u mb ers i s 103. S e v e n t im es t h e s ma ll er i s e q u a l t o 5 m ore t han t h e l a r g er . Wha t a re t h e n u mb ers ?

Solution

The numbers : - 16 \frac{1}{3}, - 119 \frac{1}{3}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 103

7 x = 5 + y

x - y = 103, 7 x = 5 + y : x = - \frac{49}{3}, y = - \frac{358}{3}

Convert improper fractions to mixed numbers:

\frac{49}{3} = 16 \frac{1}{3}

Convert improper fractions to mixed numbers:

\frac{358}{3} = 119 \frac{1}{3}

The numbers : - 16 \frac{1}{3}, - 119 \frac{1}{3}

Popular Examples

half of a number decreased by three one half times a number less than one fourth Find the diameter of a circle with an area of 6 Joe is 18. Charlie is 15 years older than Joe. How old is Charlie When the square of a number is subtracted from the original number, the result is-110. Find the numbers