Question 762065
Let {{{ f }}} = Father's age now
Let {{{ s }}} = Son's age now
{{{ f + 16 }}} = father's age in 16 years
{{{ s + 16 }}} = Son's age in 16 years
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given:
(1) {{{ f + 16 = 2*( s + 16 ) }}}
(2) {{{ s = 7 }}}
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(1) {{{ f + 16 = 2s + 32 }}}
(1) {{{ f - 2s = 16 }}}
Substitute (2) into (1)
(1) {{{ f - 2*7 = 16 }}}
(1) {{{ f - 14 = 16 }}}
(1) {{{ f = 30 }}}
The Father is 30 now
check:
(1) {{{ 30 + 16 = 2*( s + 16 ) }}}
(1) {{{ 46 = 2s + 32 }}}
(1) {{{ 2s = 14 }}}
(1) {{{ s = 7 }}}
OK