At the dog park on Monday, the ratio of small dogs to all dogs was three to seven. A total of 42 dogs were at the park. How many
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Answer:
Answer:
The two integers are 18 and 3.
Step-by-step explanation:
Consider the provided information.
It is given that One integer is 3 more than 5 times another.
Let us consider the integer is <em>x</em>.
Then 3 more than 5 times of x is:
The product of the provided two numbers is 54. i.e.
Use the formula of the quadratic equation:
For the equation the solutions are:
By comparing the obtained equation with the above equation, it can be concluded that <em>a</em> = 5, <em>b</em> = 3 and <em>c</em> = -54. Substitute the these values in the above formula.
or
or
or
As we have given that numbers are integer, therefore ignore
Thus, the value of <em>x</em> is 3 or one number is 3.
Then 3 more than 5 times of x is: 3 + 5(3) = 18.
Therefore, the two integers are 18 and 3.