QUESTION

CSAT

Easy

Maths

Prelims 2022

Consider the Question and two Statements given below: Question: What is the age of Manisha?

Statement-1: Manisha is 24 years younger than her mother. Statement-2: 5 years later, the ages of Manisha and her mother will be in the ratio 3:53: 5.

Which one of the following is correct in respect of the Question and the Statement?

Select an option to attempt

Explanation

Statement 1: This information alone is not sufficient to determine Manisha's exact age, as we only know the age difference between her and her mother but not their specific ages.

Statement 2: This gives us an equation involving their ages in the future. However, without knowing the age difference or any specific value, we cannot determine the exact age of either Manisha or her mother from this statement alone.

Combining Both Statements: Using both statements together, we set up the equation:

  1. Manisha’s mother’s age = M+24M + 24
  2. From Statement 2: M+5M+29=35\frac{M + 5}{M + 29} = \frac{3}{5}

With these, we can solve for MM, which represents Manisha's age.

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