Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 85. Find the third number?  Select the correct option.
A) A)37 B) B)85 C) C)48 D) D)43 E) E)84
Let the numbers be 5x, 6x, 7x.   Largest number = 7x.   Smallest number = 5x.   Third number = 6x.   7x + 5x = 6x + 85   6x = 85 =&gt; third number is 85.   Answer: Option 85
<result>B</result>
Three numbers are in the ratio 5 : 6 : 7. The sum of its longest and smallest numbers equals the sum of the third number and 85. Find the third number?