Pre Calculus K challenge A man added the digits of the year

Pre- Calculus \"K\" challenge A man added the digits of the year when he turned 37 and noticed it was equal to the sum of the digits of the year he was born. What year was he born?

Solution

Solution:

Let\'s assume that wxyz is the year when he born

and as we add 37 to it we get pqrs

pqrs -wxyz = 37

and

p+p+r+s = w+x+y+z

we can see that only 1991 and 1928 only satisfy the above equation

therefore year of born is 1991

Answer