Knowee
Questions
Features
Study Tools

If 4 years ago the ratio between the ages of P and Q was 5 : 6 and the sum of their ages at present is 52 years, what is the ratio of their present ages ?Options4 : 56 : 75 : 67 : 8

Question

If 4 years ago the ratio between the ages of P and Q was 5 : 6 and the sum of their ages at present is 52 years, what is the ratio of their present ages ?Options4 : 56 : 75 : 67 : 8

🧐 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 ages of P and Q, 4 years ago, were 5x and 6x respectively.

Step 2: According to the problem, the sum of their present ages is 52 years. But since we're talking about their ages 4 years ago, we need to account for those 4 years for both P and Q. So, the equation becomes: 5x + 4 + 6x + 4 = 52

Step 3: Simplify the equation: 11x + 8 = 52

Step 4: Solve for x: 11x = 52 - 8, 11x = 44, x = 44 / 11, x = 4

Step 5: Now that we know x, we can find the present ages of P and Q. P is now (5x + 4) years old and Q is (6x + 4) years old. Substituting x = 4, we get P = 24 and Q = 28.

Step 6: Therefore, the ratio of their present ages is 24 : 28, which simplifies to 6 : 7.

So, the answer is 6 : 7.

This problem has been solved

Similar Questions

rrect answerTen years ago, P was half of Q's age. If the ratio of their present ages is 3 : 4, what will be the total of their present ages?Options453540

Ratio of present ages of P and Q are 7 : 3. After four years their ages will be in the ratio 2 : 1. Then the present age of P (in years) is?Options32282430

The ratio of the present ages of P and Q is 3: 4. Five years ago, the ratio of their ages was 5: 7. Find their present ages.Question Description : 30 and 4030 and 3530 and 5025 and 40

The ratio between the present ages of P and Q is 5:7 respectively.If the difference between Q's present age and P's age after 6 years is 2.What is the total P's and Q's present ages?30 years40 years36 years48 years

Select the correct answerSeven years ago, the ages (in years) of A and B were in the ratio 4 : 5 and 7 years hence, their ages will be in the ratio 5 : 6. What will be ratio of their ages 5 years from now?Options31 : 3333 : 3434 : 4133 : 40

1/2

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.