Question 1141529
Let {{{ a }}} = the older brother's age
Let {{{ b }}} = the younger brother's age
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(1) {{{ a*b = 35 }}}
(2) {{{ a - b = 2 }}}
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(2) {{{ a = b + 2 }}}
Plug this result into (1)
(1) {{{ ( b + 2 )*b = 35 }}}
(1) {{{ b^2 + 2b - 35 = 0 }}}
(1) {{{ ( b + 7 )*( b - 5 ) = 0 }}} ( by looking at it )
{{{ b }}} can't be negative, so 
{{{ b = 5 }}}
and
(2) {{{ a = b + 2 }}}
(2) {{{ a = 5 + 2 }}}
(2) {{{ a = 7 }}}
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The older brother is 7
The younger brother is 5