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Question
If (2x + 3y) : (3x + 2y) = 4 : 3; then x : y is ______.
Options
6 : 1
2 : 3
1 : 6
3 : 2
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Solution
If (2x + 3y) : (3x + 2y) = 4 : 3; then x : y is 1 : 6.
Explanation:
Given (2x + 3y) : (3x + 2y) = 4 : 3
`\implies (2x + 3y)/(3x + 2y) = 4/3`
`\implies` 3(2x + 3y) = 4(3x + 2y)
`\implies` 6x + 9y = 12x + 8y
`\implies` 9y – 8y = 12x – 6x
`\implies` y = 6x
`\implies x/y = 1/6`
`\implies` x : y = 1 : 6
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