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Popular Word Problems >

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

Solution

t h e d i ff ere n ce o f tw o n u mb ers i s 4. T h r i ce t h e f i rs t n u mb er pl u s tw i ce t h e seco n d n u mb er i s 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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