Select the correct answerThe ratio of the present ages of two boys is 3 : 4. After 3 years, the ratio of their ages is equal to will be 4 : 5.The ratio of their ages after 21 years will be?Options11 : 1217 : 1914 : 1710 : 11
Question
Select the correct answerThe ratio of the present ages of two boys is 3 : 4. After 3 years, the ratio of their ages is equal to will be 4 : 5.The ratio of their ages after 21 years will be?Options11 : 1217 : 1914 : 1710 : 11
Solution
Let's solve this step by step:
Step 1: Let's assume the present ages of the two boys are 3x and 4x.
Step 2: According to the problem, after 3 years, the ratio of their ages will be 4:5. So, we can set up the equation as follows: (3x + 3) / (4x + 3) = 4/5
Step 3: Solving this equation, we get x = 3. So, the present ages of the boys are 33 = 9 years and 43 = 12 years.
Step 4: Now, we need to find the ratio of their ages after 21 years. So, their ages will be 9+21 = 30 years and 12+21 = 33 years.
Step 5: The ratio of their ages after 21 years will be 30:33, which simplifies to 10:11.
So, the correct answer is 10:11.
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