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Q: The sum of three numbers is 280. If the ratio between the first and second numbers is 2 : 3 and the ratio between second and third numbers is 4 : 5, then find the second number.
  • A. 96
  • B. 90
  • C. 86
  • D. 80
Correct Answer: Option A - Let the numbers are A, B and C According to the question A + B + C = 280 A : B = 2 : 3 B : C = 4 : 5 ∴ A : B : C = 8 : 12 : 15 ⇒ 35x = 280 x = 8 Hence, the second number = 12 × 8 = 96
A. Let the numbers are A, B and C According to the question A + B + C = 280 A : B = 2 : 3 B : C = 4 : 5 ∴ A : B : C = 8 : 12 : 15 ⇒ 35x = 280 x = 8 Hence, the second number = 12 × 8 = 96

Explanations:

Let the numbers are A, B and C According to the question A + B + C = 280 A : B = 2 : 3 B : C = 4 : 5 ∴ A : B : C = 8 : 12 : 15 ⇒ 35x = 280 x = 8 Hence, the second number = 12 × 8 = 96