Question 1107736
Let {{{ a }}} = his younger brother's age
Let {{{ b }}} = his age
Let {{{ c }}} = his older brother's age
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(1) {{{ b = 2a }}}
(2) {{{ b = (1/2)*c }}}
(3) {{{ a + 22 = (1/2)*( c + 22 ) }}}
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(2) {{{ c = 2b }}}
and
(1) {{{ a = (1/2)*b }}}
Plug these results into (3)
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(3) {{{ (1/2)*b + 22 = (1/2)*( 2b + 22 ) }}}
Multiply both sides by {{{ 2 }}}
(3) {{{ b + 44 = 2b + 22 }}}
(3) {{{ b = 22 }}}
and
(1) {{{ a = (1/2)*b }}}
(1) {{{ a = (1/2)*22 }}}
(1) {{{ a = 11 }}}
and
(2) {{{ c = 2b }}}
(2) {{{ c = 2*22 }}}
(2) {{{ c = 44 }}}
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The younger brother is 11
He is 22 
The older brother is 44

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