Question 1062092
Integers A & B…
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{{{ A = 2B-2 }}}
{{{ AB = 220 }}}

Subs from top eqn into bottom one:
{{{ (2B-2)B = 220 }}}
{{{  2B^2 - 2B = 220 }}}
Divide everything by 2, and rearrange everything to left hand side:
{{{   B^2 - B - 110 = 0 }}}
{{{   (B+10)(B-11) = 0 }}}

{{{ B=-10 }}}  or  {{{ B=11 }}}
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{{{ B=-10 }}} —> {{{ A = 2(-10)-2 = -22 }}}
{{{ B=11 }}} —> {{{ A= 2(11) - 2 = 20 }}}

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Check:
#1   if {{{B=-10}}} and {{{A=-22}}} :
                AB = (-10)(-22) = +220  (ok)
                2B-2 = 2(-10)-2 = -20 - 2 = -22 (=A)  (ok)
-

#2   if {{{ B=11 }}} and {{{A=20 }}}
                 AB = (11)(20) = 220  (ok)
                2B-2 = 2(11) - 2 = 22-2 = 20 = A  (ok)
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Answer:  
              -10 and -22 work
  and         11 and 20  work