Question
Download Solution PDFA : B = 7 : 8 ഉം B : C = 7 : 9 ഉം ആയാൽ A : B : C യുടെ അനുപാതം എന്താണ്?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFനൽകിയിരിക്കുന്നത്:
A : B = 7 : 8
B : C = 7 : 9
ആശയം:
N നെ a : b ആയി വിഭജിച്ചാൽ,
ആദ്യ ഭാഗം = N × a/(a + b)
രണ്ടാം ഭാഗം = N × b/(a + b)
കണക്കുകൂട്ടല്:
A/B = 7/8 ----(i)
കൂടാതെ B/C = 7/9 ----(ii)
(i) ഉം (ii) ഉം സമവാക്യങ്ങൾ ഗുണിച്ചാൽ നമുക്ക് ലഭിക്കുന്നത്,
⇒ (A/B) × (B/C) = (7/8) × (7/9)
⇒ A/C = 49/72
∵ A : B = 49 : 56
∴ A : B : C = 49 : 56 : 72
Alternate Method
A : B = 7 : 8 = 49 : 56
B : C = 7 : 9 = 56 : 72
⇒ A : B : C = 49 : 56 : 72
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