Question 770110
Let {{{ m }}} = man's age
Let {{{ s }}} = son's age
{{{ m + 2 }}} = man's age in 2 years
{{{ s + 2 }}} = son's age in 2 years
given:
(1) {{{ m = 8s }}}
(2) {{{ m + 2 = 6*( s + 2 ) }}}
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(2) {{{ m + 2 = 6s + 12 }}}
(2) {{{ m = 6s + 10 }}}
Substitute (1) into (2)
(2) {{{ 8s = 6s + 10 }}}
(2) {{{ 2s = 10 }}}
(2) {{{ s = 5 }}}
and, since
(1) {{{ m = 8s }}}
(1) {{{ m = 8*5 }}}
(1) {{{ m = 40 }}}
The man is 40 and
his son is 5
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check:
(2) {{{ m + 2 = 6*( s + 2 ) }}}
(2) {{{ 40 + 2 = 6*( 5 + 2 ) }}}
(2) {{{ 42 = 6*7 }}}
(2) {{{ 42 = 42 }}}
OK