NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - Problems and Solutions
Question 66

Question. 66

Write six distinct integers whose sum is 7.

Answer:

\(-3,\,0,\,1,\,2,\,3,\,4\)   (sum: \(-3+0+1+2+3+4=7\))

Detailed Answer with Explanation:

  1. We need six different integers. Their total must be (7).
  2. Start with easy numbers: (0,,1,,2,,3,,4).
  3. Add them: (0+1=1).
  4. Then (1+2=3).
  5. Then (3+3=6).
  6. Then (6+4=10). So the sum is (10) for five numbers.
  7. We want (7), which is (3) less than (10).
  8. Add one more number that reduces the sum by (3): choose (-3).
  9. Now the six numbers are (-3,,0,,1,,2,,3,,4).
  10. Check the sum step by step:
    (-3+0=-3)
    (-3+1=-2)
    (-2+2=0)
    (0+3=3)
    (3+4=7)
  11. All six integers are distinct. The total is (7). Done.
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