Question 61

If 5A = 13B = 7C; find the value of A : B : C.

Solution

Let $$5A = 13B = 7C = k$$

=> $$A = \frac{k}{5}$$ , $$B = \frac{k}{13}$$ , $$C = \frac{k}{7}$$

=> Ratio of A : B : C = $$\frac{k}{5} : \frac{k}{13} : \frac{k}{7}$$

= $$\frac{1}{5}$$ : $$\frac{1}{13}$$ : $$\frac{1}{7}$$

L.C.M. of 5,13 and 7 = 455, thus multiplying by 455, we get :

= $$\frac{455}{5} : \frac{455}{13} : \frac{455}{7}$$

= 91 : 35 : 65

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