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Anjali's mother is four times as old as Anjali. In 10 years the mother will be only twice as old as Anjali. Find the MOTHER'S present age (in years).

Class 8Linear Equations in One VariableLinear Equations
  • A5
  • B30
  • C15
  • D20

Step-by-Step Solution

Let Anjali be a years old, so her mother is . In 10 years: → → , so the mother is . Check: in 10 years they will be 30 and 15, and . The traps 5, 30 and 15 are Anjali's present age, the mother's future age and Anjali's future age.
Answer: D) 20

Key idea: Equations with fractions

Multiplying both sides by the LCM of denominators turns fractions into whole numbers in one move.

Example: . LCM of 2, 3, 6 = 6. Multiply every term by 6:
.

Verify: . ✓

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