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If 
n+7 represents an even number, the next larger even number is represented by
(1) 
n+8
(3) 
10 n+7
(2) 
n+9
(4) 
2n+7

If n+7 n+7 represents an even number, the next larger even number is represented by\newline(11) n+8 n+8 \newline(33) 10n+7 10 n+7 \newline(22) n+9 n+9 \newline(44) 2n+7 2 n+7

Full solution

Q. If n+7 n+7 represents an even number, the next larger even number is represented by\newline(11) n+8 n+8 \newline(33) 10n+7 10 n+7 \newline(22) n+9 n+9 \newline(44) 2n+7 2 n+7
  1. Identify nature of n+7n+7: Identify the nature of n+7n+7. Since n+7n+7 is even, nn must be odd (even + odd = odd, odd + odd = even).
  2. Determine next even number: Determine the expression for the next larger even number. Adding 22 to an even number results in the next even number. Thus, (n+7)+2=n+9(n+7) + 2 = n+9.
  3. Check correct expression: Check the options for the correct expression.\newlineThe correct expression representing the next larger even number is n+9n+9.

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