Question 475701
Let {{{a}}} = Angel's age now
Let {{{m}}} = Mother's age now
given:
(1) {{{ a + m = 56 }}}
(2) {{{ m - 2 = 3*(a - 2) }}}
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(2) {{{ m - 2 = 3a - 6 }}}
(2) {{{ 3a - m = 4 }}}
Add (1) and (2)
(1) {{{ a + m = 56 }}}
(2) {{{ 3a - m = 4 }}}
{{{ 4a = 60 }}}
{{{ a = 15 }}}
and
(1) {{{ a + m = 56 }}}
(1) {{{15 + m = 56 }}}
(1) {{{ m = 56 - 15 }}}
(1) {{{ m = 41 }}}
Her Mother is 41 now
check:
(2) {{{ m - 2 = 3*(a - 2) }}}
(2) {{{ 41 - 2 = 3*(15 - 2) }}}
(2) {{{ 39 = 3*13 }}}
(2) {{{ 39 = 39 }}}
OK