The ratio of 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 answer:
A) 17	B) 12	C) 20	D) 27	E) 18
Let the two numbers be 5x and 6x.   Let the number added to both so that their ratio becomes 7:8 be k.   (5x + k)/(6x + k) = 7/8   42x = 7k =&gt; k = 2x.   6x - 5x = 10 =&gt; x = 10   k = 2x = 20.   Answer:20
<result>C</result>
The ratio of 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?