1) Two numbers are in the ratio 5 : 6 and if 4 is subtracted from each ,they are reduced to the ratio 4 : 5,find the smaller number A) 20 B) 16 C) 12 D) 14 E) 17 Answer: Option AExplanation:Let the two numbers be $5x$ and $6x$ Given $\frac{5x-4}{6x-4}$ $=\frac{4}{5}$ $25x-20$ $=24x-16$ $x = 4$ Smaller number $= 5x$ $=5\times4$ $= 20$
