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Question
If a : b : c = 2 : 3 : 4 and 2a − 3b + 4c = 33, then the value of c is ______.
Options
6
9
12
`66/7`
MCQ
Fill in the Blanks
Solution
If a : b : c = 2 : 3 : 4 and 2a − 3b + 4c = 33, then the value of c is 12.
Explanation:
a : b : c = 2 : 3 : 4
Let 2x : 3x : 4x
2x − 3b + 4c = 33
2 × 2x − 3 × 3x + 4 × 4x = 33
2 × 2x − 3 × 3x + 4 × 4x = 33
4x − 9x + 16x = 33
11x = 33
x = 3
∴ c ⇒ 4 × 3 = 12
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Ratio and Proportion (Entrance Exam)
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