Two numbers are in the ratio of 2:3 . if 4 is added in both numbers the ratio becomes 5:7. Find the difference between numbers.  Answers:
A) 8  B) 6  C) 4  D) 2  E) 10
We're told that two numbers are in the ratio of 2:3. Thus, the two numbers could be...   2 and 3   4 and 6   6 and 9   8 and 12   10 and 15   Etc.   We're told that ADDING 4 to each number changes the ratio of the numbers to 5:7. We're asked for the DIFFERENCE between the original numbers.   Since adding 4 makes the first number a multiple of 5, this limits the possibilities....   2+4= 
<gadget id="calculator">2+4</gadget>
<output>6</output>
6 NOT POSSIBLE    4+4= 
<gadget id="calculator"> 4+4</gadget>
<output>8</output>
8 NOT POSSIBLE    6+4= 
<gadget id="calculator"> 6+4</gadget>
<output>10</output>
10 This IS possible...Using this example, we would have...   6 and 9, after adding 4 to each, becomes10 and 13...this is NOT a ratio of 5 to 7 though (even though it's pretty close), so we have to keep looking....   The next value that becomes a multiple of 5 when you add 4 to it is...16...   16 + 4= 
<gadget id="calculator">16 + 4</gadget>
<output>20</output>
20   With16 and 24, after adding 4 to each, we have20 and 28.This IS a ratio of 5 to 7, so we have our pair of original numbers.   The difference between them is 8.   Final 8nswer:   8
<result>A</result>
Two numbers are in the ratio of 2:3 . if 4 is added in both numbers the ratio becomes 5:7. Find the difference between numbers.