The product of two consecutive integers is 210. What are the numbers?

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Answer 1 · 2016-09-02T16:07:26

The numbers are #14# and #15#.

Let the numbers be #x# and #x + 1#.

#x(x + 1) = 210#

#x^2 +x = 210#

#x^2 + x - 210 = 0#

#(x + 15)(x - 14) = 0#

#x = -15 and 14#

Hence, the numbers are #14# and #15#.

Hopefully this helps!