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Popular >

the difference of two numbers is 4. Thrice the first number plus twice the second number is 28.

Solution

the difference of two numbers is 4. Thrice the first number plus twice the second number is 28.

Solution

The numbers : 7 \frac{1}{5}, 3 \frac{1}{5}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 4

3 x + 2 y = 28

x - y = 4, 3 x + 2 y = 28 : x = \frac{36}{5}, y = \frac{16}{5}

Convert improper fractions to mixed numbers:

\frac{36}{5} = 7 \frac{1}{5}

Convert improper fractions to mixed numbers:

\frac{16}{5} = 3 \frac{1}{5}

The numbers : 7 \frac{1}{5}, 3 \frac{1}{5}

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