Knowee
Questions
Features
Study Tools

The 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?Options10 : 1117 : 1914 : 1711 : 12

Question

The 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?Options10 : 1117 : 1914 : 1711 : 12

🧐 Not the exact question you are looking for?Go ask a question

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: Cross-multiply to solve for x:

5*(3x + 3) = 4*(4x + 3)

15x + 15 = 16x + 12

Step 4: Simplify the equation to find the value of x:

x = 15 - 12 = 3

Step 5: Now that we have the value of x, we can find the present ages of the boys:

First boy's age = 3x = 33 = 9 years Second boy's age = 4x = 43 = 12 years

Step 6: We are asked to find the ratio of their ages after 21 years. So, their ages after 21 years will be:

First boy's age = 9 + 21 = 30 years Second boy's age = 12 + 21 = 33 years

Step 7: Therefore, the ratio of their ages after 21 years will be 30:33, which simplifies to 10:11.

So, the correct option is 10:11.

This problem has been solved

Similar Questions

Ratio of the present age of a father to that of the son is 7 : 1. After 5 years the ratio will become 4: 1. What is the difference (in years) in their present ages?Options :10203040

The ratio of a father’s age to his son’s age is 4 : 1. The product of their ages is 196. What will be the ratio of their ages after 5 years?3 : 24 : 1111 : 44:1

Select the correct answerTen years before, the ages of a mother and her daughter were in the ratio 3 : 1. In another 10 yr. from now, the ratio of their ages will be 13 : 7. What are their present ages?Options75 yr, 25 yr49 yr, 31 yr39 yr, 21 yr55 yr, 25 yr

The ratio of the fathers age to the son's age is 4:1.The product of their ages is 196.The ratio of their ages after 5 years will be.11 : 44 : 115 : 1612 : 3

The ratio of the present ages of A and B is 3 : 7, whereas after n years it will be 1 : 2. Find the difference between their ages after 2n years, if the ratio of their ages 15 years ago was 1 : 4.

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.