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Sum of 70% of first number, 45% of second number and 30% of third number is 1020 more than the square of 30. Second number is twice of first number. Difference between second number and first number is also the square of 30. What is the value of 40% of 63% of 5/7th of third number?

Sum of 70% of first number, 45% of second number and 30% of third number is 1020 more than the square of 30. Second number is twice of first number. Difference between second number and first number is also the square of 30. What is the value of 40% of 63% of 5/7th of third number? Correct Answer 288

Given:

Let first number, second number and third number be a, b and c respectively.

⇒ 70a/100 + 45b/100 + 30c/100 = 1020 + 302 = 1920

⇒ b = 2a

⇒ b - a = 900

⇒ a = 900 and b = 1800

Solving,

⇒ c = 1600

∴ Required value = 40/100 × 63/100 × 5/7 × 1600 = 288

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