Question 13 of 48advanced🔍 AnalyzeShort Answer2 marks

Can you make 12 on each side? Can you make 13?

Correct Answer

(a) Can you make 12 on each side?

Step 1: Total of three sides = 36 Step 2: Corner sum needed = 36 - 21 = 15 Step 3: 4 + 5 + 6 = 15, so 12 is possible ∴ Yes, 12 can be made on each side by placing 4, 5, 6 at the corners.

(b) Can you make 13?

Step 1: Total of three sides = 39 Step 2: Corner sum needed = 39 - 21 = 18 Step 3: Maximum possible corner sum is 15, so 13 is impossible ∴ No, 13 cannot be made because the maximum corner sum possible is 15, which is less than 18.

Exercise: Let Us Play | Q: 15 | (Page Page 6)
For More Understanding

Explanation

For sum 12: corner numbers must sum to 15 (36-21=15), and 4+5+6=15 works. For sum 13: corner numbers must sum to 18 (39-21=18), but maximum sum of three numbers from 1-6 is 4+5+6=15, which is less than 18.

Solution Steps

  1. Step 1: For sum 12, total of three sides = 36

  2. Step 2: Corner sum needed = 36 - 21 = 15

  3. Step 3: 4+5+6 = 15, so 12 is possible

  4. Step 4: For sum 13, total of three sides = 39

  5. Step 5: Corner sum needed = 39 - 21 = 18

  6. Step 6: Maximum possible corner sum is 15, so 13 is impossible

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