(In reply to
Puzzle Answer by K Sengupta)
R(x, y) = x(x+y) + min (x, y)
A table is furnished hereunder supporting the veracity of the abovementioned functional relationship:
x: 1 3 4 5 6 8 9
y: 1 8 7 2 0 3 4
R(x,y): 3 36 48 37 36 91 121
Accordingly, do satisfy the bivariate functional relation in terms of the given pair values.
Now, we observe that:
R(2,99) = 2(2+99)+2 = 2*101 + 2 =204
R(4,46) = 4(4+46)+4 = 4*50 + 4 = 204
Accordingly, R(2,99) = R(4,46) = 204
Consequently, both the values are equal.