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Popular Word Problems >

An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers

Solution

implicit derivative

in t e g er i s 3 l ess t han 5 t im es an o t h er . I f t h e p ro d u c t o f t h e tw o in t e g ers i s 36, t h e n f in d t h e in t e g ers

Solution

The numbers : 12, 3 or - 15, - 2 \frac{2}{5}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 5 y - 3

x y = 36

x = 5 y - 3, x y = 36 : (x = 12, y = 3 x = - 15, y = - \frac{12}{5})

Convert improper fractions to mixed numbers:

\frac{12}{5} = 2 \frac{2}{5}

The numbers : 12, 3 or - 15, - 2 \frac{2}{5}

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