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Neha mother is four times as old as neha.after 5 years,her mother will be three times as old as she will be then .find their present age. Explain with a video?
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Neha mother is four times as old as neha.after 5 years,her mother will...
Understanding the Problem
Neha's age and her mother's age can be expressed as:
- Let Neha's current age be N years.
- Therefore, Neha's mother's current age is 4N years (as she is four times Neha's age).
Setting Up the Equation
After 5 years, the ages will be:
- Neha's age: N + 5
- Mother's age: 4N + 5
According to the problem, in 5 years, Neha's mother will be three times Neha's age:
- Equation: 4N + 5 = 3(N + 5)
Solving the Equation
Now, let's solve the equation:
1. Expand the equation:
- 4N + 5 = 3N + 15
2. Rearranging the terms:
- 4N - 3N = 15 - 5
- N = 10
Now that we have Neha's age, we can find her mother's age:
- Mother's age = 4N = 4 × 10 = 40 years
Final Ages
- Neha's current age: 10 years
- Neha's mother's current age: 40 years
Conclusion
Neha is currently 10 years old, and her mother is 40 years old. After 5 years, Neha will be 15, and her mother will be 45, confirming that her mother will indeed be three times her age at that time.
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Neha mother is four times as old as neha.after 5 years,her mother will be three times as old as she will be then .find their present age. Explain with a video?
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