NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 3: Integers - Problems and Solutions
Question 78

Question. 78

The sum of two integers is 30. If one integer is \(-42\), find the other.

Answer:

72

Detailed Answer with Explanation:

  1. The sum is 30. One number is (-42). We need the other number.
  2. Let the other number be (x).
  3. Write the equation in small parts:
    (x + (-42) = 30)
  4. Add (42) to both sides to cancel the (-42):
    (x + (-42) + 42 = 30 + 42)
  5. Simplify each side step by step:
    ((-42) + 42 = 0)
    (x + 0 = 72)
  6. So,
    (x = 72)
  7. Quick check:
    ((-42) + 72 = 30) ✓
Open NCERT PDF
NCERT Exemplar Solutions Class 6 – Mathematics – Unit 3: Integers – Problems and Solutions | Detailed Answers