2. In the year 2000, I will be as the sum of th
e digits of my birth year when I was born
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Given : In the year 2000, I will be as the sum of the digits of my birth year
To Find : when I was born
Solution:
Year would be 19XY
Sum of Digits = 1+ 9 + X + Y = 10 + X + Y
Age = 2000 - 19XY
= 2000 - 1900 - 10X - Y
= 100 - 10X - Y
10 + X + Y = 100 - 10X - Y
=> 11X + 2Y = 90
X = 8 , Y = 1 only satisfy this
Born in 1981 Years
Age = 19 years , Sum of Digits of year in which born = 19
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