Question 834381
Let {{{ a }}} = your age now
Let {{{ b }}} = your brother's age now
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(1) {{{ a = b + 4 }}}
(2) {{{ a - 2 = (3/2)*( b-2 ) }}}
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(2) {{{ 2a - 4 = 3b - 6 }}}
(2) {{{ 2a - 3b = -2 }}}
(2) {{{ -2a + 3b = 2 }}}
and
(1) {{{ a - b = 4 }}}
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Multiply both sides of (1) by {{{2}}}
and add (1) and (2)
(2) {{{ -2a + 3b = 2 }}}
(1) {{{ 2a - 2b = 8 }}}
{{{ b = 10 }}}
and
(1) {{{ a = b + 4 }}}
(1) {{{ a = 10 + 4 }}}
(1) {{{ a = 14 }}}
OK
You are 14
check:
2 years ago you were 12
and your brother was 8
{{{ (3/2)*8 = 12 }}}
You were 1.5 times your brother's age
OK