Question 913039
Let {{{ m }}] = mother's age
Let {{{ d }}} = daughter's age
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(1) {{{ m = 2d + 15 }}}
(2) {{{ m = d + 32 }}}
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By substitution:
(1) {{{ d + 32 = 2d + 15 }}}
(1) {{{ d = 32 - 15 }}}
(1) {{{ d = 17 }}}
and
(2) {{{ m = d + 32 }}}
(2) {{{ m = 49 }}}
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The mother is 49 and the daughter is 17
check:
(1) {{{ m = 2d + 15 }}}
(1) {{{ 49 = 2*17 + 15 }}}
(1) {{{ 49 = 34 + 15 }}}
(1) {{{ 49 = 49 }}}
OK