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Popular Word Problems >

One number is four less than three times another. If their sum is increased by five, the result is 2

Solution

O n e n u mb er i s f o u r l ess t han t h ree t im es an o t h er . I f t h e i r s u m i s in cre a se d b y f i v e, t h e res u lt i s 2

Solution

The numbers : - 3 \frac{1}{4}, \frac{1}{4}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 3 y - 4

x + y + 5 = 2

x = 3 y - 4, x + y + 5 = 2 : x = - \frac{13}{4}, y = \frac{1}{4}

Convert improper fractions to mixed numbers:

\frac{13}{4} = 3 \frac{1}{4}

The numbers : - 3 \frac{1}{4}, \frac{1}{4}

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