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Popular Word Problems >

The difference between two numbers is 2. The smaller number is 4 more than 7 times the larger number. Find 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 2. T h e s ma ll er n u mb er i s 4 m ore t han 7 t im es t h e l a r g er n u mb er . F in d t h e n u mb ers .

Solution

The numbers : 1 \frac{2}{3}, - \frac{1}{3}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 2

x = 4 + 7 y

x - y = 2, x = 4 + 7 y : x = \frac{5}{3}, y = - \frac{1}{3}

Convert improper fractions to mixed numbers:

\frac{5}{3} = 1 \frac{2}{3}

The numbers : 1 \frac{2}{3}, - \frac{1}{3}

Popular Examples

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