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Karthik's mother is 26 years older than he is. In 4 years she will be exactly three times as old as he will be then. How old is Karthik now?

Class 7Simple EquationsSimple Equations
  • A7 years
  • B13 years
  • C35 years
  • D9 years

Step-by-Step Solution

Let Karthik be now, so his mother is . In 4 years they will be and , and → → . Check: today 9 and 35; in 4 years 13 and 39, and ✓. Answer 13 is his age in 4 years rather than now; 35 is his mother's present age; 7 comes from ageing only Karthik and forgetting to add 4 to his mother as well.
Answer: D) 9 years

Key idea: Translating word problems into equations

Three steps:
1. **Pick a variable** for the unknown ('let be the number of …').
2. **Translate the words into an equation** using the operations the problem describes.
3. **Solve and answer in the original units.**

Example: 'Three times a number plus 7 equals 22. Find the number.'
Let = the number. Equation: . Solve: .
Answer: the number is 5.

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