The sum of two numbers is 38. The smaller number is eight less than the larger number. What are the numbers?

15 + 23 =38

So n + n + 8 = 38

which means n + n = 30

and since the n's are the same, you just cut the 30 in 2 equal pieces. 15 and 15.

So n = 15, n + 8 = 23

15 + 23 = 38   :)

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

it would rotate about 180 degrees.