Question 12 of 48advanced🔧 ApplyShort Answer3 marks

Use the same numbers 1–6 and make the sum 10 on each side of the triangle.

Correct Answer

Step 1: Total of three sides with sum 10 each = 30

Step 2: Sum of numbers 1-6 = 21

Step 3: Corner numbers sum = 30 - 21 = 9

Step 4: Find three numbers from 1-6 that sum to 9

Step 5: Place those at corners, distribute remaining numbers

Possible corner combinations: 1 + 3 + 5 = 9 1 + 2 + 6 = 9 2 + 3 + 4 = 9

One valid arrangement (corners 1, 3, 5): Place 1, 3, 5 at corners. Place 6 between 1 and 3: 1 + 6 + 3 = 10 Place 2 between 3 and 5: 3 + 2 + 5 = 10 Place 4 between 5 and 1: 5 + 4 + 1 = 10

Exercise: Let Us Play | Q: 13 | (Page Page 6)
For More Understanding

Explanation

For sum 10 on each side, total of three sides = 30. The difference from total (21) is 9, so corner numbers must sum to 9. Possible corner combinations: 1+3+5=9, 1+2+6=9, 2+3+4=9.

Solution Steps

  1. Step 1: Total of three sides with sum 10 each = 30

  2. Step 2: Sum of numbers 1-6 = 21

  3. Step 3: Corner numbers sum = 30 - 21 = 9

  4. Step 4: Find three numbers from 1-6 that sum to 9

  5. Step 5: Place those at corners, distribute remaining numbers

PreviousNext