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Read the timeline. Ravi's mother is three times as old as Ravi now. In 12 years she will be twice as old as Ravi. What is the mother's present age?

Class 8Linear Equations in One VariableLinear Equations
  • A36 years
  • B12 years
  • C48 years
  • D24 years

Step-by-Step Solution

In 12 years: . Mother now years. (12 is Ravi's age; 48 is the mother's age 12 years later.)
Answer: A) 36 years

Key idea: Translating word problems

Three steps:
1. **Pick a variable** for the unknown.
2. **Translate the words** into operations (sum, difference, product, quotient).
3. **Solve, then state the answer in the original units.**

Word clues: 'is/equals' = '='. 'sum' = +. 'difference' = −. 'product' = ×. 'quotient/per' = ÷. 'twice' = ×2. 'one more than' = +1. 'half of' = .

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