1 Deepak BoraNewbie Asked: July 15, 20202020-07-15T16:42:23+05:30 2020-07-15T16:42:23+05:30In: ICSE if A : B = 1/4 :1/5 and B : C =1/7 : 1/6 ,find A : B : C 1 Ratio And Proportion questionratio and proportion Share Facebook 1 Answer Voted Oldest Recent Deepak Bora Newbie 2020-07-15T23:29:32+05:30Added an answer on July 15, 2020 at 11:29 pm A:B = 1/4:1/5 = 1/4×20 : 1/5×20 (multiplying both ratios by LCM of 4,5) ∴ A:B = 5:4 similarly, B:C = 1/7:1/6 = 1/7×42 : 1/6×42 (multiplying both ratios by LCM of 7,6) ∴ B:C = 6:7 now take LCM of 4,6 both values of B ∴ A:B = 5×3: 4×3 = 15/12 B:C = 6×2 : 7×2 = 12/14 ∴ A:B:C = 15: 12: 14 0 Reply Share Share Share on Facebook Share on Twitter Share on LinkedIn Share on WhatsApp Leave an answerLeave an answerCancel reply Featured image Select file Browse Add a Video to describe the problem better. Video type Youtube Vimeo Dailymotion Facebook Choose from here the video type. Video ID Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs". Click on image to update the captcha. Save my name, email, and website in this browser for the next time I comment. Related Questions Using the properties of proportion, solve the following equation for x; given x³+3x/3x²+1=341/91 Give x³+12x/(6x²+8) =(y³+27y/9y²+27). Using componendo and dividendo find x : y. Given that a³+3ab²/(b³+3a²b) =63/62. Using componendo and dividendo find a: b. Given x=root(a2+b2) +root(a2−b2) /(root (a2+b2) −root(a2−b2) Use componendo and dividendo to prove that b²=2a²x/x²+1 If x=root(a+x) +root(a−1) /root(a+1) −root(a−1) , using properties of proportion , show that x² – 2ax + 1 ...
A:B = 1/4:1/5 = 1/4×20 : 1/5×20 (multiplying both ratios by LCM of 4,5)
∴ A:B = 5:4
similarly,
B:C = 1/7:1/6 = 1/7×42 : 1/6×42 (multiplying both ratios by LCM of 7,6)
∴ B:C = 6:7
now take LCM of 4,6 both values of B
∴ A:B = 5×3: 4×3 = 15/12
B:C = 6×2 : 7×2 = 12/14
∴ A:B:C = 15: 12: 14