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Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities…

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Given below are two quantities named A and B. 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 A: The age of the father is 3 times of his son, 5 years before the age of son was 1/5 times of his father. Find the present age of mother, if at the time of marriage of his mother, she was 5 years younger to his father.
Quantity B: 30

AQuantity A > Quantity B
BQuantity A ≥ Quantity B
CQuantity B > Quantity A
DQuantity B ≥ Quantity A

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Discussion 1

CCommunity16 Jul 2019

Quantity A:

Let present age of Son be x

⇒ Present age of Father = 3x

Now, 5 years ago

⇒ Father’s age = 3x – 5

⇒ Son’s age = x – 5

According to question,

⇒ x – 5 = (1/5) × (3x – 5)

⇒ 5x – 25 = 3x – 5

⇒ 2x = 20

⇒ x = 10

⇒ Father’s present age = 3x = 3 × 10 = 30 years

∴ Present age of mother = 30 – 5 = 25 years

Quantity B: 30

Quantity A < Quantity B