Both the proposition and its converse (“If a + x = a + y, then x = y”) are true. Adding equals preserves equality and subtracting a from both sides restores x = y.
If x = y, then a + x = a + y, where x, y and a are any three numbers. This proposition and its converse are routinely used while solving equations.
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The proposition and its converse (“If a + x = a + y, then x = y”) are both true. The proposition follows from the addition property of equality. The converse holds by the cancellation law: subtracting the real number a from both sides of a + x = a + y yields x = y, making algebraic equation steps fully reversible.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 9 Propositions and their Converses Question Answer (2026-27)
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