Question 1155066
Let {{{ x }}} = the son's age
{{{ 5x - 3 }}} = the father's age
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{{{ x + 5x - 3 = 37 }}}
{{{ 6x = 40 }}}
{{{ x = 20/3 }}}
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The father's age is:
{{{ 5x - 3 = 5*(20/3) - 3 }}}
{{{ 5x - 3 = 100/3 - 9/3 }}}
{{{ 5x - 3 = 91/3 }}}
{{{ 5x - 3 = 30 + 1/3 }}}
and
{{{ (1/3)*12 = 4 }}} months
The father is 30 years and 4 months
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check the answer:
{{{ x + 5x - 3 = 37 }}}
{{{ 20/3 + 5*( 20/3 ) - 3 = 37 }}}
Multiply both sides by {{{ 3 }}}
{{{ 20 + 100 - 9 = 111 }}}
{{{ 111 = 111 }}}
OK
check the math