Question 1038781
Let {{{ a }}} = A's age now
Let {{{ b }}} = B's age now
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(1) {{{ a - 8 = 4*( b - 8 ) }}}
(2) {{{ a + 8 = 2*( b + 8 ) }}}
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(1) {{{ a- 8 = 4b - 32 }}}
(1) {{{ - a + 4b = 24 }}}
and
(2) {{{ a + 8 = 2b + 16 }}}
(2) {{{ a - 2b = 8 }}}
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Add the equations
(1) {{{ - a + 4b = 24 }}}
(2) {{{ a - 2b = 8 }}}
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{{{ 2b = 32 }}}
{{{ b = 16 }}}
and
(2) {{{ a - 2b = 8 }}}
(2) {{{ a - 2*16 = 8 }}}
(2) {{{ a = 8 + 32 }}}
(2) {{{ a = 40 }}}
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A is 40 now
B is 16 now
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check:
8 yrs ago, A was 32
8 yrs ago, B was 8
A was 4 times B 
OK
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In 8 yrs, A is 48
In 8 yrs, B is 24 
A will be twice B
OK