Question 888999
Let {{{ d }}} = Daniel's age now
Let {{{ a }}} = Alex's age now
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(1) {{{ d - 5 = 2*( a - 5 ) }}}
(2) {{{ d + a = 14 }}}
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(2) {{{ d = 14 - a }}}
Plug this into (1)
(1) {{{ 14 - a - 5 = 2*( a - 5 ) }}}
(1) {{{ 9 - a = 2a - 10 }}}
(1) {{{ 3a = 19 }}}
(1) {{{ a = 19/3 }}}
and, since
(2) {{{ d = 14 - a }}}
(2) {{{ d = 14 - 19/3 }}}
(2) {{{ d = 42/3 - 19/3 }}}
(2) {{{ d = 23/3 }}}
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Daniel is 7 yrs 8 months
Alex is 6 yrs 4 months
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check answer:
(1) {{{ d - 5 = 2*( a - 5 ) }}}
(1) {{{ 23/3 - 5 = 2*( 19/3 - 5 ) }}}
(1) {{{ 23/3 - 15/3 = 2*( 19/3 - 15/3 ) }}}
(1) {{{ 8/3 = 2*( 4/3 ) }}}
(1) {{{ 8/3 = 8/3 }}}
OK
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The answers are strange- not whole numbers.
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