Question 1051997
Let {{{ a }}} = parent's age now
Let {{{ b }}} = child's age now
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(2) {{{ -a + 3b = 20 }}}
(2) {{{ a - 10 = 3*( b - 10 ) }}}
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(2) {{{ a - 10 = 3b - 30 }}}
(2) {{{ -a + 3b = 20 }}}
and
(1) {{{ a - b = 32 }}}
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Add (1) and (2)
(1) {{{ a - b = 32 }}}
(2) {{{ -a + 3b = 20 }}}
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{{{ 2b = 52 }}}
{{{ b = 26 }}}
and
(2) {{{ -a + 3b = 20 }}}
(2) {{{ -a + 3*26 = 20 }}}
(2) {{{ a = 78 - 20 }}}
(2) {{{ a = 58 }}}
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The father is 58
The child is 26