If B: A = 2: 3 and A: C = 5: 7,then what is ( | vedclass

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(C) Given ratios are $B: A = 2: 3$ and $A: C = 5: 7$.To find the combined ratio $B: A: C$,we equate the value of $A$ in both ratios.The common term is

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$25: 31$

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(C) Given ratios are $B: A = 2: 3$ and $A: C = 5: 7$.To find the combined ratio $B: A: C$,we equate the value of $A$ in both ratios.The common term is $A$. In the first ratio,$A = 3$,and in the second ratio,$A = 5$. The least common multiple of $3$ and $5$ is $15$.Multiply the first ratio by $5$: $B: A = (2 	imes 5) : (3 	imes 5) = 10: 15$.Multiply the second ratio by $3$: $A: C = (5 	imes 3) : (7 	imes 3) = 15: 21$.Thus,$B: A: C = 10: 15: 21$.From this,we have $A = 15$,$B = 10$,and $C = 21$.Now,calculate $(A + B) : (B + C) = (15 + 10) : (10 + 21) = 25 : 31$.Therefore,the correct option is $C$.

If $B: A = 2: 3$ and $A: C = 5: 7$,then what is $(A + B) : (B + C)$?

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