The ratio of the two natural numbers is 5 : 6. If a certain number is added to both the numbers, the ratio becomes 7 : 8. If the larger number exceeds the smaller number by 10, find the number added?  Choose the correct choice from the following:  A) 17  B) 14  C) 10  D) 16  E) 20
Let the two numbers be 5x and 6x.   Let the numbers added to both so that their ratio becomes 7 : 8 be k.   (5x + k) / (6x + k) = 7/8   =&gt; 40x + 8k = 42x + 7k =&gt; k = 2x.   6x - 5x = 10 =&gt; x = 10   k = 2x = 20.   Answer:10
<result>C</result>
The ratio of the two natural numbers is 5 : 6. If a certain number is added to both the numbers, the ratio becomes 7 : 8. If the larger number exceeds the smaller number by 10, find the number added?