Question 6 of 22intermediate🔧 ApplyShort Answer2 marks

Can we get a 3-digit sum? What is the smallest 3-digit sum that we can get?

Correct Answer

Yes, we can get a 3-digit sum.

Step 1: The sum must be a multiple of 11.

Step 2: The smallest 3-digit multiple of 11 is 110.

Step 3: To get 110, digit sum = 110 ÷ 11 = 10.

Step 4: Numbers with digit sum 10: 19, 28, 37, 46, 55, 64, 73, 82, 91.

Step 5: Verify: 19 + 91 = 110, 28 + 82 = 110, 37 + 73 = 110, 46 + 64 = 110, 55 + 55 = 110.

∴ The smallest 3-digit sum is 110.

Exercise: Reverse and Add | Q: d | (Page Page 3)
For More Understanding

Explanation

The chapter asks about 3-digit sums from adding a number to its reverse. The smallest 3-digit multiple of 11 is 110. To get 110, the digit sum must be 10 (since 110÷11=10). Numbers with digit sum 10: 19, 28, 37, 46, 55, 64, 73, 82, 91. The smallest 3-digit sum is 110.

Solution Steps

  1. Step 1: The sum must be a multiple of 11.

  2. Step 2: The smallest 3-digit multiple of 11 is 110.

  3. Step 3: To get 110, digit sum = 110÷11 = 10.

  4. Step 4: Numbers with digit sum 10: 19, 28, 37, 46, 55, 64, 73, 82, 91.

  5. Step 5: Verify: 19+91=110, 28+82=110, etc.

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