The sum of three numbers is 294. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is : Choose the correct answer:
A) 20	B) 30	C) 38	D) 90	E) None of these
A : B = 2 : 3 = 2 × 5 : 3 × 5 = 10 : 15   and B : C = 5 : 8 = 5 × 3 : 8 × 3 = 15 : 24   Therefore, A : B : C = 10 : 15 : 24   ∴ A : B : C = 10 : 15 : 24   Let the number be 10x, 15x and 24x.   Then, 10x + 15x + 24x = 294   or 49x = 294 or x = 6   ⇒ Second number = 15x = 15 × 6 = 90   Answer 90
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The sum of three numbers is 294. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8,then the second number is :