Question

A is 300 days older than B and C is 50 weeks older than A. if C was born on Tuesday, on which day was B born ?

Answer 1

One main concept that will help solve this question is that 2 perons are born on same day if the difference in their age is a factor of 7

a = b +300 equation 1

c = a + 350 ( 50 weeks = 50*7 days that is 350 days)'

now put value of equation 1

c = b +650

now C was born on tuesday

b would have born on Tuesday if he was 651 days younger than c, as 651 is facor 0f 7

but he is 650 days younger, hence one day less

that is MONDAY

Answer 2

Given:

A = 300 days older than B

C = 50 weeks older than A

Day of Birth of C = Tuesday

Required = Day of Birth of B

According to the question, B is younger than C by 50 weeks + 300 days which is equal to 650 days.

Therefore, total no. of weeks + days = $\frac{650}{7}$

= 92 weeks + 6 days

Thus, day of birth of B = Tuesday - 6 = Wednesday