Given below are two quantities named Q1 and Q2. 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. Eight years ago the ratio of the age of Swati, Shruti, and Rashi was 4 : 3 : 5. Q1 : What is the present age of Swati, if the difference between the present age of Swati and Shruti is 8 years? Q2 : What is the present age of Shruti if the sum of age of Swati and Rashi is 34 years?
Given below are two quantities named Q1 and Q2. 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. Eight years ago the ratio of the age of Swati, Shruti, and Rashi was 4 : 3 : 5. Q1 : What is the present age of Swati, if the difference between the present age of Swati and Shruti is 8 years? Q2 : What is the present age of Shruti if the sum of age of Swati and Rashi is 34 years? Correct Answer Q<sub>1</sub> > Q<sub>2</sub>
Calculation:
Let the present age of Swati, Shruti, and Rashi is (4x + 8), (3x + 8) and (5x + 8) respectively.
⇒ For Q1
⇒ (4x + 8) - (3x + 8) = 8, x = 8 years
⇒ Present age of Swati = 4 × 8 + 8 = 32 + 8 = 40 years
⇒ Q1 = 40 years
⇒ For Q2
⇒ (4x + 8) + (5x + 8) = 34
⇒ x = 2
⇒ Q2 = Present age of Shruti = 3 × 2 + 8 = 6 + 8 = 14 years
⇒ Q1 > Q2
∴ The required result will be Q1 > Q2.