Question : Two numbers are in the ratio 3 : 5. If 6 is added to each of them the ratio becomes 2 : 3. The numbers are:
Option 1: 21 and 35
Option 2: 30 and 50
Option 3: 24 and 40
Option 4: 18 and 30
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Correct Answer: 18 and 30
Solution : Let the numbers be $3x$ and $6x$. According to the question, $\frac{3x+6}{5x+6}$ = $\frac{2}{3}$ $⇒ 9x+ 18 = 10x + 12$ $\therefore x= 6$ Therefore, the numbers are (3 × 6) = 18 and (5 × 6) = 30 Hence, the correct answer is 18 and 30.
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Question : There is a ratio of 5 : 4 between the two numbers. If 40 percent of the first number is 12, then 50% of the second number is:
Question : Two numbers are in the ratio of 6 : 5. If their HCF is 3, then what is the LCM of the two numbers?
Question : Three numbers are in the ratio 2 : 3 : 4. If the sum of their squares is 1856, the numbers are:
Question : Directions: Which two numbers and two signs should be interchanged in the following equation to make it correct? 18 – 6 + 11 × 5 + 18 = 113
Question : The ratio between the present ages of A and B is 3 : 5. If the ratio of their ages five years hence becomes 13 : 20, then the present age of B is:
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