Question 1045031
Let x = original number of people in the group

===> {{{560/(x-2) - 560/x = 32}}}

===> {{{1/(x-2) - 1/x = 32/560 = 2/35}}}

===> {{{2/(x(x-2)) = 2/35}}}  ===> {{{1/(x(x-2)) = 1/35}}}


===>{{{x(x-2) = x^2 - 2x = 35}}}  ===> {{{x^2 - 2x - 35 = 0}}} 

===> (x-7)(x+5) = 0  ===> x = 7, -5.

Eliminate the root -5, so the answer to the question is, there were originally 7 people in the boat.