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₹1,260 is divided between Asif and Bilal so that Asif receives ₹180 more than Bilal. How much does Bilal receive?

Class 7Simple EquationsSimple Equations
  • A₹630
  • B₹720
  • C₹540
  • D₹1,080

Step-by-Step Solution

Let Bilal get ₹, so Asif gets ₹. Together: → → , and Asif gets ₹720. Check: 540 + 720 = ₹1,260 and 720 − 540 = ₹180 ✓. ₹720 is Asif's share, not the one asked for; ₹630 splits the money equally and ignores the ₹180; ₹1,080 forgets the final division by 2.
Answer: C) ₹540

Key idea: Transposition — the shortcut

When you're comfortable with the balance method, you can move terms across the '=' sign in one step by **flipping the sign** of the term that moves.


→ move +2 across, flipping it to −2:
→

For the multiplier: move ×3 across as ÷3 (and ÷ moves across as ×). Same balance idea, faster notation. **The sign flips because addition and subtraction are inverses, multiplication and division are inverses.**

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