Question 1049121
This is the way I do it:
Let {{{ a }}} = Tim's age
Let {{{ b }}} = Yaniara's age
Let {{{ c }}} = Hannah's age
---------------------------
(1) {{{ b = a + 3 }}}
(2) {{{ b = 2c }}}
(3) {{{ a = c + 2 }}}
--------------------
Substitute (2) into (1)
(1) {{{ 2c = a + 3 }}}
(1) {{{ -a + 2c = 3 }}}
and
(3) {{{ a - c = 2 }}}
--------------------
Now add (1) and (3)
(1) {{{ -a + 2c = 3 }}}
(3) {{{ a - c = 2 }}}
--------------------
{{{ c = 5 }}}
and
(2) {{{ b = 2c }}}
(2) {{{ b = 2*5 }}}
(2) {{{ b = 10 }}}
and
(3) {{{ a = c + 2 }}}
(3) {{{ a = 5 + 2 }}}
(3) {{{ a = 7 }}}
--------------------
Tim is 7
Yaniara is 10
Hannah is 5
---------------
check answers:
Yaniara is 3 years older than Tim
YES
she is twice as old as Hannah.
YES
Tim is 2 years older than Hannah.
YES