Question 1171548
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The first tutor missed the point of the problem; there is only one solution.<br>
His age this year is a square number; let it be x^2.<br>
That means last year his age was x^2-1.<br>
But x^2-1 = (x-1)(x+1), which is the product of two integers.  The only way the product of two integers can be prime is if one of them is 1.<br>
So x-1 is 1, making x=2 and x+1=3.  So his age last year was 1*3=3, making his age this year 4.<br>