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 54. Find the third number? Choose the correct option:
A) A)37 B) B)85 C) C)48 D) D)43 E) E)54
Let the numbers be 5x, 6x, 7x.   Largest number = 7x.   Smallest number = 5x.   Third number = 6x.   7x + 5x = 6x + 54   6x = 54 =&gt; third number is 54.   Answer: Option 54
<result>E</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 54. Find the third number?