Instructions

Each question given below is followed by three statements. Study the question and
the statements. Identify which option is necessary to answer the question.

Question 44

What will be the sum of two numbers?I. Among the two numbers, the bigger number is greater than the smaller number by 6.II. 40 % of the smaller number is equal to 30 % of the bigger number.III. The ratio of half of the bigger number to one third of the smaller number is 2 : 1.

Solution

Case 1 : I and II

Let smaller number be  x => bigger number = x+6

$$\frac{40}{100}\cdot x=\frac{30}{100}\left(x+6\right)$$

=> x=18 , Sum of bigger and smaller number = 42

Case 2 : I and III

Let smaller number be x => bigger number = x+6

$$\frac{\left(x+6\right)}{2}\cdot\frac{3}{x}=\frac{2}{1}$$

On solving , x=18 . So sum = 42

Case 3 : II and III

Only the ratio between bigger and smaller number can be found out

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