Question 80

If A/3 = B/2 = C/5, then what is the value of ratio $$(C + A)^{2} : (A + B)^{2} : (B + C)^{2}$$?

Solution

Let $$\frac{A}{3}=\frac{B}{2}=\frac{C}{5}=k$$

=> $$A=3k$$ , $$B=2k$$ and $$C=5k$$

To find : $$(C + A)^{2} : (A + B)^{2} : (B + C)^{2}$$

= $$(5k+3k)^2:(3k+2k)^2:(2k+5k)^2$$

= $$8^2k^2:5^2k^2:7^2k^2$$

= $$64:25:49$$

=> Ans - (C)

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