(A) 39 Years
(B) 78 Years
(C) 87 Years
(D) 93 Years
Correct Option is: D
We are given that age ratio of Moody and Charles = 5 : 6
Moody age = 5x and Charles age = 6x
3 years ago, their age was 5x and 6x.
Hence at present, Moody age = 5x +3 and Charles age = 6x +3
After 12years,
Moody age = (5x +3) + 12 = (5x + 15)
Charles age = (6x +3) + 12= (6x + 15)
After 12 years, this ratio becomes => 6 : 7. Therefore,
Moody Age/Charles Age =6/7
(5x + 15) / (6x +15) = 6 / 7
7 (5x + 15) = 6 (6x + 15)
X = 15
Charles present age = (6x + 3) = 93 years