Question 935902
Let {{{ m }}} = the mother's age now
Let {{{ d }}} = the daughter's age now
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The difference in their ages never changes
It is {{{ m - d }}}
In terms of their present ages,
(1) {{{ m - d = 26 }}}
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Also given is:
(2) {{{ m = 3d - 6 }}}
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Substitute (2) into (1)
(1) {{{ 3d - 6 - d = 26 }}}
(1) {{{ 2d = 32 }}}
(1) {{{ d = 16 }}}
The daughter is 16 now
check:
(1) {{{ m - d = 26 }}}
(1) {{{ m - 16 = 26 }}}
(1) {{{ m = 42 }}}
and
(2) {{{ m = 3d - 6 }}}
(2) {{{ 42 = 3*16 - 6 }}}
(2) {{{ 42 = 48 - 6 }}}
(2) {{{ 42 = 42 }}}
OK