Question 242432
well consecutive means one after another or following each other.
The product of two numbers is just another way of saying two numbers multiplied together.

Does that help?

Let x = a number
let x+1 = the next number

x times by x+1 = 210
{{{x*x+x = 210}}}
{{{x^2+x=210}}}
{{{(x+(1/2))^2 - (1/2)^2 = 210}}} (called completing the square)
{{{(x+(1/2))^2 = 210+1/4}}}
{{{x = sqrt (210+1/4) - 1/2 }}}
{{{x = 14}}}

so the two numbers are 14 and 15. Check the answer by multiply both together to give 210.

Do you understand it?