Ahil and his 2 younger siblings share something very unusual. They were all born on 29th Feb. his younger sister is 4 years younger than him and his brother is 8 years younger than him. In the not too distant future, on 29th Feb, the lowest common multiple of Ahil's age and his sister's age will reveal that distant future year. How old he will be on 29th Feb 2020?
Answers
Answer:
66
Step-by-step explanation:
This is the question from my unsolved puzzle book. There answer is 66 but no explanation
Given : Ahil and his 2 younger siblings share something very unusual. They were all born on 29th Feb. his younger sister is 4 years younger than him and his brother is 8 years younger than him. In the not too distant future, on 29th Feb, the lowest common multiple of Ahil's age and his sister's age will reveal that distant future year.
To Find : How old he will be on 29th Feb 2020?
a) 88
b) 77
c) 66
d) 99
Solution:
Rather than going into all details just use the information that
Ahil was born on 29th feb Hence in a leap year
Age to be found on 29th feb 2020 ( which is a leap year )
A leap year is a year which is divisible by 4 / divisible by 400 if if its century year)
So Ahil born on leap year hence age on any leap year must be multiple of 4
Check given options:
a) 88 = 4 x 22
b) 77 not divisible by 4
c) 66 not divisible by 4
d) 99 not divisible by 4
Hence only possible option is 88
he will be 88 years on 29th Feb 2020
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