Two two-digit numbers, 'AB' and 'BA', sum to produce a three-digit number in which the second d

igit

is equal to A. The addition is represented below. (Note
that the variables are used to represent individual digits;

no mu

ltiplication is

taking place).
AB + B

A= 1A2
What

is B?

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

answer:

convection currents in the magma drive plate tectonics. heat generated from the radioactive decay of elements deep in the interior of the earth creates magma (molten rock) in the aesthenosphere. the aesthenosphere (70 ~ 250 km) is part of the mantle, the middle sphere of the earth that extends to 2900 km.