Fastidious

Number Theory Level pending

\(N+a^2+b^2\) is a three digit number which is divisible by 5. \(a=10x+y\) and \(b=10x+z\), where \(z\) is a prime number, and \(x\) and \(y\) are natural numbers. If \(a+b=31\), then find the value of \(N.\)

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