Question 579482
Let {{{ a }}} = the age of the younger brother now
{{{ a + 3 }}} = the age of the older brother now
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given:
In 6 years:
{{{ a + 6 }}} = the age of the younger brother
{{{ a + 3 + 6 }}} = the age of the older brother
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{{{ ( a + 9 ) / ( a + 6 ) = 9/8 }}}
Multiply both sides by {{{ 8*( a + 6 ) }}}
{{{ 8*( a + 9 ) = 9*( a + 6 ) }}}
{{{ 8a + 72 = 9a + 54 }}}
{{{ a = 72 - 54 }}}
{{{ a = 18 }}}
{{{ a + 3 = 21 }}}
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The older brother is 21 now
The younger brother is 18 now
check:
{{{ ( a + 9 ) / ( a + 6 ) = 9/8 }}}
{{{ ( 18 + 9 ) / ( 18 + 6 ) = 9/8 }}}
{{{ 27 / 24 = 9/8 }}}
Multiply both sides by {{{ 8*24 }}}
{{{ 8*27 = 24*9 }}}
{{{ 216 = 216 }}}
OK