Question 1105080
Let {{{ a }}} = Sam's age now
Let {{{ b }}} = Richard's age now
--------------------------------
(1) {{{ a - 1 = ( b - 1 ) - 10 }}}
(2) {{{ a = (3/5)*b }}}
--------------------------------
(1) {{{ a - 1 = b - 11 }}}
(1) {{{ a = b - 10 }}}
Plug (2) into (1)
(1) {{{ (3/5)*b  = b - 10 }}}
(1) {{{ (2/5)*b = 10 }}}
(1) {{{ b = (5/2)*10 }}}
(1) {{{ b = 25 }}}
and
(2) {{{ a = (3/5)*25 }}}
(2) {{{ a = 15 }}}
Sam is 15 this year
--------------------------
check answer:
(1) {{{ a = b - 10 }}}
(1) {{{ 15 = 25 - 10 }}}
(1) {{{ 15 = 15 }}}
and
(2) {{{ a = (3/5)*b }}}
(2) {{{ 15 = (3/5)*25 }}}
(2) {{{ 15 = 15 }}}
OK