Question 1085089
1.{{{A+B=35}}}
2.{{{A^2+B^2=637}}}
From 1,
{{{A=35-B}}}
Substituting,
{{{(35-B)^2+B^2=637}}}
{{{B^2-70B+1225=637}}}
{{{2B^2-70B+1225=637}}}
{{{2B^2-70B+588=0}}}
{{{B^2-35B+294=0}}}
{{{(B-14)(B-21)=0}}}
So the two integers are 14 and 21.