Question 584460
Let {{{ a }}} = Ben's age now
Let {{{ b }}} = Ben's Father's age now
given:
(1) {{{ b - 8 = 2a }}}
The difference in their ages never
changes. At Ben's birth it was 33 yrs, so:
(2) {{{ b - a = 33 }}}
---------------
(1) {{{ b - 2a = 8 }}}
Subtract (1) from (2)
(2) {{{ b - a = 33 }}}
(1) {{{ -b + 2a = -8 }}}
{{{ a = 25 }}}
and, since
(1) {{{ b - 2a = 8 }}}
(1) {{{ b - 2*25 = 8 }}}
(1) {{{ b = 50 + 8 }}}
(1) {{{ b = 58 }}}
Ben is 25