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Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers. Quantity I: The sum of the age of Deepak and Suman at present is 70 years, while the ratio of their ages is 7 ∶ 3. What is the age of Deepak? Quantity II: The difference between the present age of Deepak and Suman is 15 years. 8 years ago the ratio of their ages was 7 ∶ 4 respectively. What is Deepak's present age?

Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers. Quantity I: The sum of the age of Deepak and Suman at present is 70 years, while the ratio of their ages is 7 ∶ 3. What is the age of Deepak? Quantity II: The difference between the present age of Deepak and Suman is 15 years. 8 years ago the ratio of their ages was 7 ∶ 4 respectively. What is Deepak's present age? Correct Answer <p>Quantity I &gt; Quantity II</p>

Given:

Sum of their ages = 70 years

The ratio of their ages = 7 ∶ 3

Calculation:

Let the age of Deepak and Suman be 7x and 3x respectively

Sum of their ages = 70

⇒ 7x + 3x = 70

⇒ 10x = 70

⇒ x = 70/10

⇒ x = 7

Now,

The age of Deepak be 7x

⇒ 7 × 7

⇒ 49

∴ The Age of Deepak will be 49 years.

Quantity 2:

Given:

The difference of their present ages = 15 years

8 years ago the ratio of their ages = 7 ∶ 4

Calculation:

Let the 8 years ago, the age of Deepak and Suman be 7x and 4x respectively

The difference of their ages = 15

⇒ 7x – 4x = 15

⇒ 3x = 15

⇒ x = 15/3

⇒ x = 5

Now,

The age of Deepak 8 years ago be 7x

⇒ 7 × 5

⇒ 35 years

Now,

The present age of Deepak = 35 years + 8 years

⇒ 43 years

∴ The Present age of Deepak will be 43 years.

The comparison of both the Result:

∴ Quantity I > Quantity II

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