Answer :

Let’s break down the solution step-by-step for each part of the problem.

### Part (a)
Step 1: Determine the number obtained by subtracting 13 from 27.
[tex]\[ 27 - 13 = 14 \][/tex]

Step 2: Add this result to 42.
[tex]\[ 42 + 14 = 56 \][/tex]

So, the sum of 42 and the number obtained when 13 is subtracted from 27 is 56.

### Part (b)
Step 1: Determine the number obtained by subtracting 23 from 30.
[tex]\[ 30 - 23 = 7 \][/tex]

Step 2: Add this result to 50.
[tex]\[ 50 + 7 = 57 \][/tex]

So, the sum of 50 and the number obtained when 23 is subtracted from 30 is 57.

### Summary
(a) The sum of 42 and the number subtracted 13 from 27 is 56.
(b) The sum of 50 and the number subtracted 23 from 30 is 57.