NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - Problems and SolutionsQuestion 75
Class 6 - Mathematics - Unit 3: Integers - Problems and Solutions
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):
- Let the two integers be a and b.
- Given:
a + b = 6a − b = 6
- Add the two equations:
(a + b) + (a − b) = 6 + 6a + b + a − b = 122a = 12a = 12 ÷ 2 = 6
- Substitute a = 6 into a + b = 6:
6 + b = 6b = 6 − 6 = 0
- Check:
Sum: 6 + 0 = 6Difference: 6 − 0 = 6
- Therefore, the integers are 6 and 0.