Question 36

If x/3 - [5(7x/5 - 4/3)]/2 = -x/6, then what is the value of x?

Solution

Expression : $$\frac{x}{3}-[\frac{5}{2}(\frac{7x}{5}-\frac{4}{3})]=\frac{-x}{6}$$

= $$\frac{x}{3}-[\frac{5}{2}(\frac{21x-20}{15})]=\frac{-x}{6}$$

= $$\frac{10x}{30}-(\frac{105x-100}{30})=\frac{-x}{6}$$

Multiplying both sides by 30, we get :

= $$10x-105x+100=-5x$$

= $$105x-10x-5x=90x=100$$

= $$x=\frac{100}{90}=\frac{10}{9}$$

=> Ans - (A)

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