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Meeta is two years older than Sunita. After six years the sum of their ages will be seven times their present age. Find out the age of Meeta?

Options:
A .  24
B .  28
C .  32
D .  Data inadequate
E .  None of these
Answer: Option D

 -  Let Sunita's age = X. Then Meeta's age = X + 2
After six years the sum of their ages will be seven times of what? Not clear.
Hence given data are inadequate.


The problem can be solved using two variables and two equations. Let's assume the present age of Sunita as x years. Then the present age of Meeta will be (x+2) years, as given Meeta is two years older than Sunita.

After six years, Sunita's age will be (x+6) years and Meeta's age will be (x+8) years.

Now, as per the given information, the sum of their ages after six years will be seven times their present age. We can represent this information in the form of an equation as follows:

(x+6) + (x+8) = 7(x + (x+2))

Simplifying the above equation, we get:

2x + 14 = 14x + 14

12x = 0

x = 0

However, the age of Sunita cannot be zero or negative. Hence, the data provided in the question is inadequate to find the age of Meeta.

Therefore, the answer is option D, Data inadequate.

Some relevant definitions and formulas used in the solution are:

  • Equation: A mathematical statement that expresses the equality of two expressions.
  • Variable: A symbol or letter that represents a quantity that can vary or change in value.
  • Linear equation: An equation of the first degree, which means the highest power of the variable is one.
  • Simultaneous equations: Two or more equations that are to be solved at the same time.
  • Age problems: Problems that involve finding the present or future age of a person, given some related information.

If you think the solution is wrong then please provide your own solution below in the comments section .


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