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In-s [12.5K]
3 years ago
7

Two two-digit numbers, 'AB' and 'BA', sum to

Biology
1 answer:
Lunna [17]3 years ago
4 0

Answer:

9

Explanation:

Another way to represent this question is:

+ AB BA1A2

In the one's column, B and A add to produce a number with a two in the one's place. In the ten's column, we can see that a one must carry in order to get a digit in the hundred's place. Together, we can combine these deductions to see that the sum of A and B must be twelve (a one in the ten's place and a two in the one's place).

In the one's column: B+A=12

The one carries to the ten's column.

In the ten's column: (1)+A+B=(1)+12=13

The three goes into the answer and the one carries to the hundred's place. The final answer is 132. From this, we can see that A=3 because 1A2=132.

Using this information, we can solve for B.

A+B=12 and A=3

3+B=12

B=9

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