Question 202163
We'll assume they mean three consecutive integers.
Let x be the smallest. Then the other two numbers are {{{x+1}}} and {{{x+2}}}
Given
{{{x*(x+1) = (x+2)^2 - 37}}}
{{{x^2 + x = x^2 + 4x + 4 - 37}}}
{{{x = 4x - 33}}}
{{{-3x = -33}}}
{{{x = 11}}}
So the numbers are 11, 12 and 13.
Check your answer:
Does 11*12 = 13^2 - 37???