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The following question is accompanied by two statements (I) and (II). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. What is the age of Praveen at present? Statement I: His present age is 2 times the present age of Bipin. Statement II: 4 years ago Praveen's age was 3 times the age of Bipin.

The following question is accompanied by two statements (I) and (II). You have to determine which statements(s) is/are sufficient/necessary to answer the questions. What is the age of Praveen at present? Statement I: His present age is 2 times the present age of Bipin. Statement II: 4 years ago Praveen's age was 3 times the age of Bipin. Correct Answer <span id="docs-internal-guid-efbe97d1-7fff-6c37-f561-c67d0a96b96b"><span style=" font-variant-numeric: normal; font-variant-east-asian: normal; vertical-align: baseline; white-space: pre-wrap;">Both statement I and statement II together is needed to answer the question.</span></span>

Given:

From Statement I,

Praveen's present age = 2 × (Bipin's present age)

From statement II,

4 years ago Praveen's age = 3 × (4 years ago Bipin's age)

Calculation:

From statement I and II together,

Let Bipin's present age be x years.

And Praveen's present age = 2x years

4 years ago Bipin's age = (x - 4) years

4 years ago Praveen's age = (2x - 4) years

Now according to the statement II,

(2x - 4) = 3(x - 4)

⇒ 2x - 4 = 3x - 12

⇒ 3x - 2x = 12 - 4

⇒ x = 8

Hence, the present age of Praveen = 2 × 8

⇒ 16 years

∴ Both statement I and statement II together is needed to answer the question.

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