The sum of three numbers is 280. The ratio between the first and the second number is 2 : 3 and the ratio between the second and the third number is 4 : 5. Find the second number.

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The sum of three numbers is 280. The ratio between the first and the second number is 2 : 3 and the ratio between the second and the third number is 4 : 5. Find the second number.

A90

B95

C96

D92

Answer:

C. 96

Read Explanation:

A + B + C = 280 A : B = 2 : 3 B : C = 4 : 5 A : B : C = 8 : 12 : 15 ⇒ 8x + 12x + 15x = 280 ⇒ 35x = 280 ⇒ x = 8 The second number B = 12x ⇒ 12 × 8 = 96

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