Question
Download Solution PDFമൂന്ന് സംഖ്യകൾ 1 ∶ 2 ∶ 5 എന്ന അനുപാതത്തിലാണ്, അവയുടെ ലസാഗു 1600 ആണ്. സംഖ്യകളുടെ ഉസാഘ കണ്ടെത്തുക.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFനൽകിയത്:
സംഖ്യകൾ 1 : 2 : 5 എന്ന അംശബന്ധത്തിലാണ്
സംഖ്യകളുടെ LCM = 1600
കണക്കുകൂട്ടൽ:
സംഖ്യകൾ 1x, 2x, 5x എന്നിങ്ങനെയായിരിക്കട്ടെ.
(1x, 2x, 5x) എന്നിവയുടെ ലസാഗു = 1 x 2 x 5 x (x)
⇒ 10x
ചോദ്യമനുസരിച്ച്, 10x = 1600
⇒ x = 1600/10
⇒ x = 160
അതിനാൽ, സംഖ്യകൾ 160, 320, 800 ആണ്
ഇപ്പോൾ,
160 = 25 x 5
320 = 26 x 5
800 = 25 x 52
അതിനാൽ, ഉസാഘ = 25 x 5 = 160
അതിനാൽ, മൂന്ന് സംഖ്യകളുടെ ഉസാഘ 160 ആണ്.
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