Question

If a - b = 2 and $\frac{\begin{array}{cc}a& a\\ +b& b\end{array}}{cc0}$ then find the value of a + b + c

Answer 1

These problems involve basic number (i) aa + bb = 11(a + b) (ii) aa, bb are two-digit numbers
Hence their sum cannot exceed 198 So c must be 1 (iii) Hence cc0 = 110 This implies a + b = 10 or a = 6 and b = 4
Such problems are part of a category of problems called alpha numerics