Question 497414
Let {{{m}}} = man's age now
Let {{{s}}} = Son's age now
given:
(1) {{{ m = 3s }}}
(2){{{ m - 6 = 4*(s - 6) }}}
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By substitution,
(2) {{{ 3s - 6 = 4s - 24 }}}
(2) {{{ s = 24 - 6 }}}
(2) {{{ s = 18 }}}
and, since
(1) {{{ m = 3s }}}
(1) {{{ m = 3*18 }}}
(1) {{{ m = 54 }}}
In {{{6}}} years,
{{{ ( m + 6 ) / ( s + 6 ) = 60/24 }}}
{{{ 60/24 = 5/2 }}}
The ratio of their ages in 6 years will be 5/2