Question 115

If a : b = 2 : 3, b :c = 4 : 5 and c : d=6:7,then a : d=

Solution

$$\frac{a}{b} = \frac{2}{3}$$

$$\frac{b}{c} = \frac{4}{5}$$

$$\frac{c}{d} = \frac{6}{7}$$

Multiplying all the equations, we get :

=> $$\frac{a}{b} * \frac{b}{c} * \frac{c}{d} = \frac{2}{3} * \frac{4}{5} * \frac{6}{7}$$

=> $$\frac{a}{d} = \frac{16}{35}$$

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