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Question Number 187008 by mustafazaheen last updated on 12/Feb/23
(a/3)=(b/4)=(c/5) 3a+c=42 b=? how is solution
$$\frac{{a}}{\mathrm{3}}=\frac{{b}}{\mathrm{4}}=\frac{{c}}{\mathrm{5}}\:\:\:\:\:\:\:\:\:\:\:\mathrm{3}{a}+{c}=\mathrm{42}\:\:\:\:\:\:\:\:{b}=? \\ $$$${how}\:{is}\:{solution} \\ $$
Answered by HeferH last updated on 12/Feb/23
(a/3) = (c/5) (a/c) = (3/5) ; a = 3k , c = 5k 3(3k) + 5k = 42 14k = 42 k = ((42)/(14)) = 3 c = 5(3) = 15 b = (4/5)∙ c b = ((4∙15)/5) = 12
$$\frac{{a}}{\mathrm{3}}\:=\:\frac{{c}}{\mathrm{5}} \\ $$$$\:\frac{{a}}{{c}}\:=\:\frac{\mathrm{3}}{\mathrm{5}}\:;\:{a}\:=\:\mathrm{3}{k}\:,\:{c}\:=\:\mathrm{5}{k}\: \\ $$$$\:\mathrm{3}\left(\mathrm{3}{k}\right)\:+\:\mathrm{5}{k}\:=\:\mathrm{42} \\ $$$$\:\mathrm{14}{k}\:=\:\mathrm{42} \\ $$$$\:{k}\:=\:\frac{\mathrm{42}}{\mathrm{14}}\:=\:\mathrm{3}\: \\ $$$$\:{c}\:=\:\mathrm{5}\left(\mathrm{3}\right)\:=\:\mathrm{15}\: \\ $$$$\:{b}\:=\:\frac{\mathrm{4}}{\mathrm{5}}\centerdot\:{c} \\ $$$$\:{b}\:=\:\frac{\mathrm{4}\centerdot\mathrm{15}}{\mathrm{5}}\:=\:\mathrm{12} \\ $$
Answered by Rasheed.Sindhi last updated on 12/Feb/23
(a/3)=(b/4)=(c/5) 3a+c=42 b=? ((3a)/9)=(c/5)=((3a+c)/(9+5))=((42)/(14))=3 (b/4)=3⇒b=12
$$\frac{{a}}{\mathrm{3}}=\frac{{b}}{\mathrm{4}}=\frac{{c}}{\mathrm{5}}\:\:\:\:\:\:\:\:\:\:\:\mathrm{3}{a}+{c}=\mathrm{42}\:\:\:\:\:\:\:\:{b}=? \\ $$$$\frac{\mathrm{3}{a}}{\mathrm{9}}=\frac{{c}}{\mathrm{5}}=\frac{\mathrm{3}{a}+{c}}{\mathrm{9}+\mathrm{5}}=\frac{\mathrm{42}}{\mathrm{14}}=\mathrm{3} \\ $$$$\frac{{b}}{\mathrm{4}}=\mathrm{3}\Rightarrow{b}=\mathrm{12} \\ $$

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