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In 2010, Ms. Subbalakshmi Distributed her wealth directly proportional to the square root of the age of their children. if the youngest son is 11 years younger than second one and the eldest one is 13 years older than second one and was born in the year 1961. if the total Amount is Rs. 1800000, then what is the difference between the sum of shares of Youngest and eldest son to the sum received by second child.

In 2010, Ms. Subbalakshmi Distributed her wealth directly proportional to the square root of the age of their children. if the youngest son is 11 years younger than second one and the eldest one is 13 years older than second one and was born in the year 1961. if the total Amount is Rs. 1800000, then what is the difference between the sum of shares of Youngest and eldest son to the sum received by second child. Correct Answer Rs. 600000

Given:

Ms. Subbalakshmi Distributed her wealth directly proportional to the square root of age of their children

Age of Second child - Age of Youngest child = 11 years

Age of Oldest child - Age of second child = 13 Years

Eldest child was born in 1961

Total Sum of Ms subbalakshmi = Rs. 1800000

Concept Used:

We need to equate the desired ratio with the amount given.

Calculation:

Age of Eldest child = 2010 - 1961 = 49 Years

Age of Second child = 49 - 13 = 36 years

Age of youngest child = 36 - 11 = 25 years

Sum received by Eldest child ∝ √49

Let a constant x replace the proportionality sign

⇒ Sum received by Eldest child = 7x

Similarly,

Sum received by Second child ∝ √36

⇒ Sum received by Second child = 6x

Sum received by youngest child ∝ √25

⇒ Sum received by Youngest child = 5x

Total Sum = (7x + 6x + 5x) = 18x

⇒ 18x = Rs. 1800000

⇒ x = 1800000/18 = Rs. 100000

Sum of share received by youngest and eldest child = (7x + 5x) = 12x

⇒ Sum of share received by youngest and eldest child = 12 × 100000 = Rs. 1200000

Sum received by second child = 6x 

⇒ Sum received by second child = 6 × 100000 = Rs. 600000

Difference between the sum of shares of Youngest and eldest son to the sum received by second child = (1200000 - 600000)

⇒ Difference between the sum of shares of Youngest and eldest son to the sum received by second child = Rs. 600000

∴ The Difference between the sum of shares of Youngest and eldest son to the sum received by second child is Rs. 600000

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