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Given below are two quantities named 1 and 2. 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 between the possible answers. Quantity 1: How many years ago were Brad and Angelina married? The ratio of the age of Brad and Angelina is 4 : 3. At the time of marriage the ratio was 5 : 3 and After 4 years this ratio will become 9 : 7. Quantity 2: The present age of the younger son. The younger son is 3 years younger than the elder one. 10 years ago, the father was twice of his elder son and the difference of their present ages is 15 years.

Given below are two quantities named 1 and 2. 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 between the possible answers. Quantity 1: How many years ago were Brad and Angelina married? The ratio of the age of Brad and Angelina is 4 : 3. At the time of marriage the ratio was 5 : 3 and After 4 years this ratio will become 9 : 7. Quantity 2: The present age of the younger son. The younger son is 3 years younger than the elder one. 10 years ago, the father was twice of his elder son and the difference of their present ages is 15 years. Correct Answer Quantity 1 < Quantity 2

Quantity 1:

Let the present age of Brad and Angelina be 4x and 3x respectively.

After 4 years this ratio will become 9 : 7

⇒ (4x + 4) : (3x + 4) = 9 : 7

⇒ 7(4x + 4) = 9(3x + 4)

⇒ 28x + 28 = 27x + 36

⇒ x = 8

Present age of Brad = 4x = 4 × 8 = 32

Present age of Angelina = 3x = 3 × 8 = 24

Assume that they got married before t years. Then,

(32 − t) : (24 − t) = 5 : 3

⇒ 3(32 − t) = 5(24 − t)

⇒ 96 − 3t = 120 − 5t

⇒ 2t = 24

⇒ t = 24/2 = 12

Quantity 2:

Let the age of father be X 

Age of elder son = y 

∴ X - 10 = 2(y - 10) 

⇒ X - Y = 15 

⇒ X = 40

⇒ Y = 25 

Age of younger son = 25 - 3 = 22

∴ Quantity 1 < Quantity 2

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