How old is Blue? Options: A . &nbsp 4 B . &nbsp 6 C . &nbsp 2 D . &nbsp none of these

Answer: Option D : D Let y 1 , y 2 ......be the indefinite years. Let "t" be the year blue was born, "j" green and m yellow. Let y be the current year. y − 8 − m = 1 2 ( y 2 − j ) = 1 − y 3 − t y 3 − m = 5 ( y + 2 − t ) ...............(1) y + 10 − t = 2 ( y 1 − j ) y 1 − m = 9 ( y 1 − t ) ............(2) t + 1 − m = 3 + y 4 − t y 4 − j = 3 ( y 5 − 6 − m ) y 5 − j = 1 2 ( y 6 − t ) y 6 − m = 10 + y 7 − m y 7 − j = 1 3 ( y 8 − t ) y 8 − m = 3 ( j − m ) t = y − 3 j = y − 8 m = y − 15 Therefore, green = 8 years blue= 3 years yellow = 15 years

How old is Blue?

Question

How old is Blue?

Options:

A . 4

B . 6

C . 2

D . none of these

Answer: Option D
:
D

Let $y_{1}, y_{2}$ ......be the indefinite years. Let "t" be the year blue was born, "j" green and m yellow. Let y be the current year.
$y - 8 - m = \frac{1}{2} (y_{2} - j) = 1 - y_{3} - t y_{3} - m = 5 (y + 2 - t)$ ...............(1)
$y + 10 - t = 2 (y_{1} - j) y_{1} - m = 9 (y_{1} - t)$ ............(2)
$t + 1 - m = 3 + y_{4} - t y_{4} - j = 3 (y_{5} - 6 - m)$
$y_{5} - j = \frac{1}{2} (y_{6} - t) y_{6} - m = 10 + y_{7} - m y 7 - j = \frac{1}{3} (y_{8} - t) y_{8} - m = 3 (j - m)$
$t = y - 3 j = y - 8 m = y - 15$