Question 709185
Let {{{ m }}} = Mother's age now
Let {{{ s }}} = Son's age now
given:
(1) {{{ m = 3s }}}
(2) {{{ m + 6 = (1/3)*( s + 6 ) + 44 }}}
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(2) {{{ 3*( m + 6 ) = s + 6 + 3*44 }}}
(2) {{{ 3m + 18 = s + 6 + 132 }}}
(2) {{{ 3m - s = 138 - 18 }}}
Substitute (1) into (2)
(2) {{{ 3*(3s) - s = 120 }}}
(2) {{{ 8s = 120 }}}
(2) {{{ s = 15 }}}
and, since
(1) {{{ m = 3s }}}
(1) {{{ m = 3*15 }}}
(1) {{{ m = 45 }}}
The Mother is 45 now
check:
(2) {{{ m + 6 = (1/3)*( s + 6 ) + 44 }}}
(2) {{{ 45 + 6 = (1/3)*( 15 + 6 ) + 44 }}}
(2) {{{ 51 = (1/3)*21 + 44 }}}
(2) {{{ 7 = (1/3)*21 }}}
(2) {{{ 21 = 21 }}}
OK