Algebraic Cryptograms (Problem $1$ )

Algebra Level pending

$\large{\begin{array}{ccccccc} &&&& & & y& y&\\ \times &&&&& & y& y&\\ \hline && & & y& x& z&a\\ \end{array}}$

Give your answer as the sum of $a + x + y + z$

$z = 0, a = 1$

$y \geq 8$

$x = y - 1$

The answer is 18.

1 solution

Yajat Shamji
Aug 2, 2020

$yxza = yx01$

$y = 8, 9$

$x = 7, 8$

If $y = 8$ :

$88^2 = 7744$

Therefore, $y = 9, x = 8$

Since we are requested to give our answer in the form $a + x + y + z$ :

$9 + 8 + 0 + 1 = \fbox{18}$