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:T4c5,{"@context":"https://schema.org","@type":"QAPage","name":"If xyx + y = a, xzx + z = b and yzy + z = c , where a, b, c are all n…","url":"https://vidyalelo.com/practice-question/if-frac-xyx-y-a-fracxzx-z-b-and-frac-yzy-z-c-where-a-b-c-are-all-non-zero-numbers-then-x-equals-95040","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, Algebra","mainEntity":{"@type":"Question","name":"If xyx + y = a, xzx + z = b and yzy + z = c , where a, b, c are all n…","text":"If xyx + y = a, xzx + z = b and yzy + z = c , where a, b, c are all non - zero numbers, then x equals to?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option C. 2abcbc + ac - ab. Answer & Solution Answer: Option C Solution: & xyx + y = a,\\, xzx + z = b,\\, yzy + z = c & Now, & x + yxy = 1/a & x + zxz = 1/b & y + zyz = 1/c & 1/y + 1/x = 1/a,1/z + 1/x = 1/b,1/x + 1/y = 1/c & Now we have to find the value of x & 1/a + 1/b - 1/c = 1/y + 1/x + 1/z + 1/x - 1/y…"}}}1d:T4e7,

Answer & Solution

Answer: Option C

Solution:

$$\eqalign{ & \frac{{xy}}{{x + y}} = a,\,\frac{{xz}}{{x + z}} = b,\,\frac{{yz}}{{y + z}} = c{\t