1.

यदि `(a+b):(b+c):(c+a) = 6 : 7 : 8` हो और `(a+b+c) = 14` हो तो c का मान ज्ञात करे।A. 6B. 7C. 8D. 4

Answer» Correct Answer - A
(a+b) : (b+c) : (c+a)
6 : 7 : 8
Let 6x : 7x : 8x
`therefore a+b+b+c+c+a implies 6x+7x+8x`
`2a+2b+2c implies 21x`
`implies a+b+c=(21)/(2)x`
`implies a+b+c=14 ` given
`implies (21x)/(2)=14`
`x=(28)/(21)=(4)/(3)`
` therefore a+b=6xx(4)/(3)=8`
`therefore a+b+c=14`
c=14-8=6


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