Question 1064577
Let {{{ a }}} = the son's age now
Let {{{ b }}} = the father's age now
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(1) {{{ a + b = 60 }}}
(2) {{{ a - 6 = (1/7)*( b - 6 ) }}}
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(2) {{{ 7*( a - 6 ) = b - 6 }}}
(2) {{{ 7a - 42 = b - 6 }}}
(2) {{{ 7a - b = 36 }}}
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Add (1) and (2)
(1) {{{ a + b = 60 }}}
(2) {{{ 7a - b = 36 }}}
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{{{ 8a = 96 }}}
{{{ a = 12 }}}
and
(1) {{{ a + b = 60 }}}
(1) {{{ b = 60 - 12 }}}
(1) {{{ b = 48 }}}
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The son is 12
The father is 48
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(2) {{{ a - 6 = (1/7)*( b - 6 ) }}}
(2) {{{ 12 - 6 = (1/7)*( 48 - 6 ) }}}
(2) {{{ 6*7 = 42 }}}
(2) {{{ 42 = 42 }}}
OK