Question 622402
given:
(1) {{{ a = b + 6 }}}
In 5 years, A's age will be {{{ a + 5 }}}
In 5 years, B's age will be {{{ b + 5 }}}
so,
{{{ a + 5 + b + 5 = 70 }}}
{{{ a + b + 10 = 70 }}}
(2) {{{ a + b = 60 }}}
and, from (1),
(1) {{{ a - b = 6 }}}
Now add the equations
(1) {{{ a - b = 6 }}}
(2) {{{ a + b = 60 }}}
{{{ 2a = 66 }}}
{{{ a = 33 }}}
and, since
(2) {{{ a + b = 60 }}}
(2) {{{ 33 + b = 60 }}}
(2) {{{ b = 60 - 33 }}}
(2) {{{ b = 27 }}}
A is 33
B is 27