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Ritu has ₹3,600 saved and adds ₹250 every month. Nisha has ₹5,200 saved and adds ₹150 every month. After how many months will their savings be equal?

Class 8Linear Equations in One VariableLinear Equations
  • A6.4
  • B16
  • C4
  • D8

Step-by-Step Solution

Set the two amounts equal: 3600 + 250m = 5200 + 150m → 250m − 150m = 5200 − 3600 → 100m = 1600 → m = 16 months. Check: 3600 + 16(250) = 7600 and 5200 + 16(150) = 7600. The trap 6.4 divides 1600 by 250 alone; 4 comes from ADDING the two monthly rates (400) instead of subtracting them.
Answer: B) 16

Key idea: Variable on both sides

When appears on both sides, decide which side will keep it (typically the one with the larger coefficient — saves a sign flip). Move the other to that side, sign-flipped.

Example: .

- Move left: → .
- Move −3 right: .
- Divide: .

Verify: ; . ✓

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