Question 1054564
Let the larger integer = {{{ a }}}
Let the smaller integer = {{{ b }}}
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(1) {{{ a + 2b = 14 }}}
(2) {{{ 2a - b = 8 }}}
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Multiply both sides of (2) by {{{ 2 }}}
and add (1) and (2)
(2) {{{ 4a - 2b = 16 }}}
(1) {{{  a + 2b = 14 }}}
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{{{ 5a = 30 }}}
{{{ a = 6 }}}
and
(1) {{{ a + 2b = 14 }}}
(1) {{{ 6 + 2b = 14 }}}
(1) {{{ 2b = 8 }}}
(1) {{{ b = 4 }}}
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The integers are 6 and 4
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check:
(2) {{{ 2a - b = 8 }}}
(2) {{{ 2*6 - 4 = 8 }}}
(2) {{{ 12 - 4 = 8 }}}
(2) {{{ 8 = 8 }}}
OK