Question 1057797
Let {{{ a }}} = my present age
Let {{{ b }}} = my father's present age
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{{{ a - 13 }}} = my age 13 yrs ago
{{{ b - 13 }}} = my father's age 13 yrs ago
{{{ a - 2 }}} = my age 2 yrs ago
{{{ b - 2 }}} = my father's age 2 yrs ago
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(1) {{{ b - 13 = 3*( a - 13 ) }}}
(2) {{{ b - 2 = 2*( a - 2 ) }}}
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(1) {{{ b - 13 = 3a - 39 }}}
(1) {{{ 3a - b = 26 }}}
and
(2) {{{ b - 2 = 2a - 4 }}}
(2) {{{ 2a - b = 2 }}}
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Subtract (2) from (1)
(1) {{{ 3a - b = 26 }}}
(2) {{{ -2a + b = -2 }}}
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{{{ a = 24 }}}
and
(2) {{{ 2a - b = 2 }}}
(2) {{{ 2*24 - b = 2 }}}
(2) {{{ b = 48 - 2 }}}
(2) {{{ b = 46 }}}
My father is 46 now
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check answer:
(1) {{{ b - 13 = 3*( a - 13 ) }}}
(1) {{{ 46 - 13 = 3*( 24 - 13 ) }}}
(1) {{{ 33 = 3*11 }}}
(1) {{{ 33 = 33 }}}
OK