Question

Solve:

$AB$
$\underset{–}{+37}$
$\underset{–}{6A}$

Find the values of $A$ and $B$.

• A. $A=2$ and $B=5$
• B. $A=3$ and $B=4$
• C. $A=2$ and $B=8$
• D. $A=7$ and $B=5$

Answer 1

The correct option is A $A=2$ and $B=5$

There are two letters whose values are to be found :A and B.
Study the addition in the given puzzle.
i.e., from $B+7$ we get $A$ and from $A+3$ we get $6$.

Possible values can be
$0+7=7$ i.e., $A=7$ but $7+3\ne 6$, so, rejected
$1+7=8$ i.e., $A=8$ but $8+3\ne 6$, so,rejected
$2+7=9$ i.e., $A=9$ but $9+3\ne 6$, so,rejected
$3+7=10$ i.e., $A=0$ but $1+0+3\ne 6$ so,rejected
$4+7=11$ i.e., $A=1$ but $1+1+3\ne 6$ so,rejected
$5+7=12$ ie., $A=2$ and $1+2+3=6$
So, this value of $B=5$ works out correctly and $B=5$ gives $A$ as $2$.

So, the puzzle has been decoded as
$25$
$\underset{–}{+37}$
$\underset{–}{62}$
$\therefore A=2$ and $B=5$.