Question

if A:C = 3:5 B:C = 3:4 find A:B:C

Answer 1

Answer:

900

Step-by-step explanation:

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A : B = 3 : 4 and B : C = 3 : 5. Find A : B : C and then divide 1845 among A, B and C in proportion as obtained above.

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In the given ratios "B" is the common term, and the values of B in both ratios are not equal.

To make them equal, find the L.C.M. of values corresponding to B i.e., 4 and 3.

L.C.M. of 4 and 3=12

Therefore, an equivalent ratio of A:B such that B=12 =3:4=3×3:4×3=9:12

Similarly, an equivalent ratio of B:C=3:5=3×4:5×4=12:20

Therefore,A:B:C=9:12:20

Let the parts be A=9x,B=12x,C=20x

=>9x+12x+20x=1845

41x=1845

x=45

=>A=9×45=405

B=12x=12×45=540

C=20×45=900