Question 888290
Let {{{ m }}} = man's age now
Let {{{ s }}} = son's age now
-------------------------
(1) {{{ m - 2 = 5*( s - 2 ) }}}
(2) {{{ m + 2 = 3*( s + 2 ) + 8 }}}
-----------------------------
(1) {{{ m - 2 = 5s - 10 }}}
(1) {{{ 5s - m = 8 }}}
and
(2) {{{ m + 2 = 3s + 6 + 8 }}}
(2) {{{ -3s + m = 12 }}}
----------------------
Add (1) and (2)
(1) {{{ 5s - m = 8 }}}
(2) {{{ -3s + m = 12 }}}
{{{ 2s = 20 }}}
{{{ s = 10 }}}
and
(1) {{{ 5s - m = 8 }}}
(1) {{{ 5*10 - m = 8 }}}
(1) {{{ m = 50 - 8 }}}
(1) {{{ m = 42 }}}
The son is 10
The man is 42
check:
(2) {{{ m + 2 = 3*( s + 2 ) + 8 }}}
(2) {{{ 42 + 2 = 3*( 10 + 2 ) + 8 }}}
(2) {{{ 44 = 3*12 + 8 }}}
(2) {{{ 44 = 36 + 8 }}}
(2) {{{ 44 = 44 }}}
OK