If (3x 4y): (2x 3y) = (5x 6y): (4x 5y), Find X: Y - Toppr

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SolveGuidesJoin / LoginUse appLogin0You visited us 0 times! Enjoying our articles? Unlock Full Access!Question If (3x 4y): (2x 3y) = (5x 6y): (4x 5y), find x: yOpen in AppSolutionVerified by Toppr

Given, (3x – 4y): (2x – 3y) = (5x – 6y): (4x – 5y)This can be rewritten as$$\dfrac{3x - 4y}{2x - 3y} = \dfrac{5x - 6y}{4x - 5y}$$$$\dfrac{3x - 4y + 2x - 3y}{3x - 4y - 2x - 3y} = \dfrac{5x - 6y + 4x - 5y}{5x - 6y - 4x - 5y}$$$$\dfrac{5x - 7y}{x - y} = \dfrac{9x - 11y}{x - y}$$5x – 7y = 9x – 11y4y = 4xx/y = 1/1Thus,x: y = 1: 1

Was this answer helpful?7Similar QuestionsQ1

If 3x−4y2x−3y=5x−6y4x−5y, find x : y.

View SolutionQ2If(3x−4y):(2x−3y)=(5x−6y):(4x−5y), findx:yView SolutionQ32x − [3y − {2x − (y − x)}] = ? (a) 5x − 4y (b) 4y − 5x (c) 5y − 4x (d) 4x − 5yView SolutionQ42x − [3y − {2x − (y − x)}] = ? (a) 5x − 4y (b) 4y − 5x (c) 5y − 4x (d) 4x − 5yView SolutionQ5Add:$$5x-8y+2z, 3z-4y-2x, 6y-z-x $$, and $$3x-2z-3y$$.View Solution

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