Question 1174977
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Let the smaller integer be x; then the greater integer is (x+6).


Then you write the condition for the product


    x*(x+6) = 616,

or

    x^2 + 6x - 616 = 0.


Use the quadratic formula to solve this quadratic equation.


<U>ANSWER</U>.  The numbers are 22 and 28.
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Solved.