<PRE><B>Question 1183217</B>
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The sum of two numbers is 22 . The sum of 6 times the larger and 7 times the smaller is 137. 
What are x and y?
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&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;Notice that both terms &amp;nbsp;&quot;x&quot; &amp;nbsp;and &amp;nbsp;&quot;y&quot; &amp;nbsp;are not defined in your post.


&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;It is a &amp;nbsp;HUGE &amp;nbsp;DEFICIENCY &amp;nbsp;of your creation.



&lt;pre&gt;
Let x be the larger number; then the smaller number is  (22-x).


Write the equation for the sum of 137 as you read the post


    6x + 7*(22-x) = 137.


Simplify and solve


    6x + 152 - 7x = 137

    -x            = 137 - 152

    -x            = -17

     x            = 17.


&lt;U&gt;ANSWER&lt;/U&gt;.  The numbers are  17 and 22-17 = 5.


&lt;U&gt;CHECK&lt;/U&gt;.   6*17 + 7*5 = 137.
&lt;/pre&gt;

Solved, checked and explained.



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