Question 1017933
Let {{{ a }}} = the man's age now
Let {{{ b }}} = the son's age now
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(1) {{{ a - 5 + b - 5 = 62 }}}
(2) {{{ a - 5 = 5*( b - 5 ) }}}
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(1) {{{ a + b = 72 }}}
and
(2) {{{ a - 5 = 5b - 25 }}}
(2) {{{ -a + 5b = 20 }}}
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Add the equations
(1) {{{ a + b = 72 }}}
(2) {{{ -a + 5b = 20 }}}
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{{{ 6b = 92 }}}
{{{ b = 46/3 }}}
and
(1) {{{ a + b = 72 }}}
(1) {{{ a + 46/3 = 216/3 }}}
(1) {{{ a = 170/3 }}}
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You can do the divisions