# How do you find the two numbers by using the factoring method, if one number is seven more than the other and the product of two positive numbers is 120?

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Let ( x ) represent the smaller number. Then the larger number is ( x + 7 ). Their product is ( x(x + 7) = 120 ). Solve the quadratic equation ( x^2 + 7x - 120 = 0 ) to find the values of ( x ). Factor the quadratic or use the quadratic formula to find the solutions. The solutions will give you the two numbers.

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