1c:I[1254,["7330","static/chunks/d3ac728e-78c3d5d7a486ed3a.js","5159","static/chunks/5159-48592f0bf1a47f9d.js","8175","static/chunks/8175-f84d59b9bd013e10.js","8167","static/chunks/8167-b25693a0140130f2.js","664","static/chunks/664-f64584b506570f6e.js","3703","static/chunks/app/practice-question/%5Bslug%5D/page-d1408559b663b83f.js"],"PracticeQuestionCard"] 1b:T45c,{"@context":"https://schema.org","@type":"QAPage","name":"(3x - 2y) : (2x + 3y) = 5 : 6, then one of the value of ( 3 x + 3 y 3…","url":"https://vidyalelo.com/practice-question/3x-2y-2x-3y-5-6-then-one-of-the-value-of-frac-root-3-of-x-root-3-of-y-root-3-of-89201","keywords":"practice questions, MCQ, MCQs with answers, objective questions, competitive exam questions, Competitive Exams, Competitive Exams MCQ, Competitive Exams MCQs, Competitive Exams questions, Competitive Exams practice questions, Aptitude, Aptitude MCQ, Aptitude MCQs, Aptitude questions, Aptitude practice questions, Surds And Indices","mainEntity":{"@type":"Question","name":"(3x - 2y) : (2x + 3y) = 5 : 6, then one of the value of ( 3 x + 3 y 3…","text":"(3x - 2y) : (2x + 3y) = 5 : 6, then one of the value of ( 3 x + 3 y 3 x - 3 y )^2 is = ?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option D. 25. Answer & Solution Answer: Option D Solution: & ( 3x - 2y ) ( 3x + 2y ) = 5/6 & 18x - 12y = 10x + 15y & 8x = 27y & x/y = 278 & ( 3 x + 3 y 3 x - 3 y )^2 & ( 3 27 + 3 8 3 27 - 3 8 )^2 & ( 3 + 23 - 2 )^2 & ( 5 )^2 & 25"}}}1d:T418,

Answer & Solution

Answer: Option D

Solution:

$$\eqalign{ & \frac{{\left( {3x - 2y} \right)}}{{\left( {3x + 2y} \right)}} = \frac{5}{6} \cr & \Rightarrow 18x - 12y = 10x + 15y \cr & \Rightarrow 8x = 27y \cr & \Rightarro