Three numbers are in the ratio of 3 : 4 : 5. The sum of the largest and smallest numbers among them is equal to the sum of the second number and 52. Accordingly, what is the smallest number?

Explanation

Let the three numbers be 3x, 4x and 5x respectively. As per the question $$5x + 3x = 4x + 52$$ $$4x = 52$$ $$x = 13$$ $$3x = 3 \times 13 = 39$$ Therefore, the smallest number is 39. ## Page 10