NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - Problems and Solutions
Question 75

Question. 75

Write two integers whose sum is 6 and difference is also 6.

Answer:

6 and 0

Detailed Answer with Explanation:

Explanation (step by step):

  1. Let the two integers be a and b.
  2. Given:
    a + b = 6
    a − b = 6
  3. Add the two equations:
    (a + b) + (a − b) = 6 + 6
    a + b + a − b = 12
    2a = 12
    a = 12 ÷ 2 = 6
  4. Substitute a = 6 into a + b = 6:
    6 + b = 6
    b = 6 − 6 = 0
  5. Check:
    Sum: 6 + 0 = 6
    Difference: 6 − 0 = 6
  6. Therefore, the integers are 6 and 0.
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NCERT Exemplar Solutions Class 6 – Mathematics – Unit 3: Integers – Problems and Solutions | Detailed Answers