Abhay’s age after six years will be three-seventh of his fathers age. Ten years ago the ratio of their ages was 1 : 5. What is Abhay’s father's age at present?
Choose the correct choice from the following answers.
A) 52 years
B) 48 years
C) 50 years
D) 54 years
E) 35 years
Let the ages of Abhay and his father 10 years ago be x and 5x years respectively. Then,   Abhay's age after 6 years = (x + 10) + 6 = (x + 16) years.   Father's age after 6 years = (5x + 10) + 6 = (5x + 16) years.   (x + 16) = 3 (5x + 16)   __   7   7(x + 16) = 3 (5x + 16)   7x + 112 = 15x + 48   8x = 64   x = 8.   hence, Abhay's father's present age = (5x + 10) = 50 years.   Answer is 50 years.
<result>C</result>
Abhay’s age after six years will be three-seventh of his fathers age. Ten years ago the ratio of their ages was 1 : 5. What is Abhay’s father's age at present?