Question 1149274
Let {{{ a }}} = the man's age now
Let {{{ b }}} = his wife's age now
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(1) {{{ a + b = 63 }}}
(2) {{{ b + 9 + (1/5)*( a + 9 ) = a + 9 }}}
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(2) {{{ 5b + 45 + a + 9 = 5a + 45 }}}
(2) {{{ 5b + 45 + 9 = 4a + 45 }}}
(2) {{{ 4a - 5b = 9 }}}
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Multiply both sides of (1) by {{{ 5 }}}
and add (1) and (2)
(1) {{{ 5a + 5b = 315 }}}
(2) {{{ 4a - 5b = 9 }}}
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{{{ 9a = 324 }}}
{{{ a = 36 }}}
and
(1) {{{ a + b = 63 }}}
(1) {{{ 36 + b = 63 }}}
(1) {{{ b = 27 }}}
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The man is 36
The wife is 27
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check the math