Quantitative Aptitude Problem

Question

I am confused by the calculation of Nicholas' birth year. What I did was writing $N$ as

$N = 25x + 2$

$N = 21y + 3$

$N = 23z + 6$

Just trying integer values, I couldn't even get close to the answer. Is there a better way to do this?

Answer 1

I misunderstood the question before. The question says that

Nicholas Birth year = 25*x + 2 ..... (1)

x = 21*y + 3 ..... (2)

y = 23*z + 6 ..... (3)

Nicholas Birth year = 25 * [ 21 * { 23*z + 6} + 3 ] + 2 = 12075z + 3227

Taking z=0

Nicholas Birth year = 3227