<PRE><B>Question 124844</B>
one number is 5 times as large as another number and the sum is 78&lt;br&gt;&lt;br&gt;

From the information given, you know that:
{{{78=x+y}}}&lt;br&gt;&lt;br&gt;

And, that 5x takes the place of y:
{{{78=x+5x}}}&lt;br&gt;&lt;br&gt;

Add:
{{{78=6x}}}&lt;br&gt;&lt;br&gt;

Divide both sides by 6:
{{{13=x}}}&lt;br&gt;&lt;br&gt;

And because y=5x:
{{{y=5(13)}}}&lt;br&gt;&lt;br&gt;

Multiply:
{{{y=65}}}&lt;br&gt;&lt;br&gt;

So, you know that x=13 and y=65. To check, add the two, and they should equal 78.
{{{78=13+65}}}&lt;br&gt;&lt;br&gt;

Add:
{{{78=78}}}&lt;br&gt;&lt;br&gt;

-buildings</PRE>