Question 913677
Let {{{ s }}} = Shubbam's age now
Let {{{ g }}} = grandfather's age now
{{{ s - 16 }}} = Shubbam's age 16 yrs ago
{{{ g - 16 }}} = grandfather's age 16 yrs ago
{{{ s + 8 }}} = Shubbam's age 8 yrs from now
{{{ g + 8 }}} = grandfather's age 8 yrs from now
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given:
(1) {{{ g - 16 = 8*( s - 16 ) }}}
(2) {{{ g + 8 = 3*( s + 8 ) }}}
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(1) {{{ g - 16 = 8s - 128 }}}
(1) {{{ 8s - g = 112 }}}
and
(2) {{{ g + 8 = 3s + 24 }}}
(2) {{{ -3s + g = 16 }}}
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Add the equations:
{{{ 5s = 128 }}}
{{{ 25.6 }}}
and, since
(2) {{{ -3s + g = 16 }}}
(2) {{{ -3*25.6 + g = 16 }}}
(2) {{{ -76.8 + g = 16 }}}
(2) {{{ g = 92.8 }}}
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8 years from now, the ages will be:
{{{ s/g = (( 25.6 + 8 )) / (( 92.8 + 8 )) }}}
{{{ s/g = 33.6 / 100.8 }}}
{{{ s/g = 1/3 }}}
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Hope I got it