Question

find A and B in addition ​

Answer 1

Solution:

This has two letters A and B whose values are to be found.

The addition in the ones column:

The sum of three A's is a number whose ones digit is 0.

Therefore, the sum of two A's must be a number whose ones digit is 0.

This happens only for A = 0 and A=5.

IfA=0

Then the sum is 0+0+0=0, which makes B =0 too.

It makes A = B, and then the tens digit of BA too becomes 0),

So, we reject this possibility. So, A=5.

Therefore, the puzzle is solved as shown below.

$\: \: 5$

$+ 5$

$+ 5$

Answer=15

That is A=5 and B =1

Answer 2

$\huge\mathtt{\fcolorbox{#008080} {#CCCCFF} {Given}}$

$\: \: \: \: \: \bf{ A} \\ \bf{+ \: A }\\ \bf \: { \underline{+ \: A \: }} \\ \bf{ \underline{{ B \: A }}}$

$\huge\mathtt{\fcolorbox{#008080} {#CCCCFF} {Find}}$

Find A and B in addition .

$\huge\mathtt{\fcolorbox{#008080} {#CCCCFF} {Solution}}$

This has two letters A and B whose values are to be found.

Study the addition in the ones column: the sum of three A's is a number whose ones digit is A. Therefore, the sum of two A's must be a number whose ones digit is 0.

This happens only for A = 0 and A = 5.

If A = 0, then the sum is 0 + 0 + 0 = 0, which makes B = 0 too. We do not want this (as it makes A = B, and then the tens digit of BA too becomes 0), so we reject this possibility. So, A = 5.

Therefore, the puzzle is solved as shown below.

$\: \: \: \: \: \bf{ 5} \\ \bf{+ \: 5 }\\ \bf \: { \underline{+ \: 5 \: }} \\ \bf{ \underline{{ 1 \: 5 }}}$

That is, A = 5 and B = 1.

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