Question 494112
Let {{{a}}} = clown's weight
Let {{{b}}} = t.a.'s weight
given
(1) {{{ a = b +60 }}}
(2) {{{ b = (2/3)*a }}}
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(2) {{{ 3b = 2a }}}
Substitute (1) into (2)
(2) {{{ 3b = 2*( b + 60 ) }}}
(2) {{{ 3b = 2b + 120 }}}
(2) {{{ b = 120 }}}
and
(1) {{{ a = b +60 }}}
(1) {{{ a = 120 + 60 }}}
(1) {{{ a = 180 }}}
The clown weighs 180
The trapeze artist weighs 120
check:
(2) {{{ b = (2/3)*a }}}
(2) {{{ 120 = (2/3)*180 }}}
(2) {{{ 360 = 360 }}}
OK