Q) If a:b=2:5 and b:c=3:5 then a:c=

If a:b=3:5 and b:c=6:7 ,find a:b:c

If a+b+c=5 and ab+bc+ca=10, then prove that a^(3)+b^(3)+c^(3)-3abc=-25 .

If a+b+c=5 and ab+bc+ca=10 , then prove that a^3+b^3+c^3-3abc=-25 .

If A:B = 1:3 and B: C = 2:5. find A:C.

If A:B = 3:5 and B: C = 8:11, find A.C.

If a+b+c=p and ab+bc+ac=q, find a^(2)+b^(2)+c^(2) .

If A:B = 2:7 and B:C = 9:13, find A:C.

When two ratios are equal, then the four quantities compositing them are said to be proportiona. If a/b=c/d, then it is written a:b=c:dor a:b::c:d. Also if a/b=c/d=lamdaimpliesa=blamdaand c=dlamdaimpliesa/b=c/d =(a+-c)/(b+-d)=(""^(n)sqrt((a)^(n)+-(c)^(n)))/(""^(n)sqrt((b)^(n)+-(d)^(n)))=lamda(lamdagt0) important property of proportion : 1. If a:b=c:d,then (a+b)/(b)=(c+d)/(d)("Componendo")i.e.(a)/(b)=(c)/(d)implies(a)/(b)+1=(c)/(d)+1 2. If a:b=c"d, then (a-b)/(b)=(c-d)/(d)("Dividenod")i.e.(a)/(b)=(c)/(d)implies(a)/(b)-1=(c)/(d)-1 3. If a:b:=c:d, then (a+b)/(a-b)=(c+d)/(c-d)("Componendo and dividendo") If a/b=c/d=e/fand(2a^(4)b^(2)+3a^(2)c^(2)-5e^(4)f)/(2b^(6)+3b^(2)d^(2)-5f^(5))=((a)/(b))^(n) then teh value of n is :

If A:B=3:4 and B:C=2:3 , find A:B:C .