Knowee
Questions
Features
Study Tools

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

Question

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

🧐 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 P and Q are 3x and 4x respectively.

Step 2: According to the problem, five years ago, the ratio of their ages was 5:7. So, we can write it as (3x-5)/(4x-5) = 5/7.

Step 3: Cross-multiplying the terms, we get 7*(3x-5) = 5*(4x-5).

Step 4: Simplifying this, we get 21x - 35 = 20x - 25.

Step 5: Solving for x, we get x = 10.

Step 6: Substituting x = 10 in 3x and 4x, we get the present ages of P and Q as 30 and 40 respectively.

So, the present ages of P and Q are 30 and 40.

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

Select the correct answerIf 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 ?Options5 : 67 : 86 : 74 : 5

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

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

Present ages of 'A' and 'B' are in the ratio 3:5, respectively. Present ages of 'B' and 'C' are in ratio 2:3, respectively. If five years hence from now, age of 'A' will be 54% less than that of 'C', then find the present age of 'C'. a. 45 years b. 20 years c. 30 years d. 48 years

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.