Question : If a : b : c = 2 : 3 : 5 and 5b – a + 2c = 115, then what is the value of b?
Option 1: 15
Option 2: 12
Option 3: 6
Option 4: 24
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Correct Answer: 15
Solution : a ∶ b ∶ c = 2 ∶ 3 ∶ 5 Let the value of a, b, and c be 2x, 3x, and 5x, respectively. So, ⇒ 5b - a + 2c = 115 ⇒ 5 × (3x) – (2x) + 2 × (5x) = 115 ⇒ 23x = 115 ⇒ x = 5 $\therefore$ Value of b = 3x = 3 × 5 = 15 Hence, the correct answer is 15.
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