Question 550968
Let {{{ s }}} = area of L.S.
Let {{{ m }}} = area of L.M.
given:
(1) {{{ s + m = 54000 }}} sq. mi.
(2) {{{ s = m + 10000 }}} sq. mi.
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(2) {{{ s - m = 10000 }}}
Add the equations
{{{ 2s = 64000 }}}
{{{ s = 32000 }}}
and, since
{{{ s + m = 54000 }}}
{{{ m = 54000 - 32000 }}}
{{{ m = 22000 }}}
The area of Superior is 32,000 sq mi
The area of Michigan is 22,000 sq mi