The ratio of the present ages of Pranav and Qureshi is 4:5. Five years ago, the ratio of their ages was 7:9. Find their present ages?
Question
The ratio of the present ages of Pranav and Qureshi is 4:5. Five years ago, the ratio of their ages was 7:9. Find their present ages?
Solution
Let's solve this step by step:
Step 1: Let's assume the present age of Pranav is 4x and the present age of Qureshi is 5x.
Step 2: According to the problem, five years ago, the ratio of their ages was 7:9. So, we can write it as (4x-5)/(5x-5) = 7/9.
Step 3: Cross-multiply to solve for x. You get 36x - 45 = 35x - 35.
Step 4: Simplify the equation to find the value of x. You get x = 10.
Step 5: Substitute x = 10 in the assumed present ages of Pranav and Qureshi. So, the present age of Pranav is 4x = 410 = 40 years and the present age of Qureshi is 5x = 510 = 50 years.
So, Pranav is 40 years old and Qureshi is 50 years old.
Similar Questions
Present age of Vinod and Ashok are in ratio of 3:4 respectively. After 5 years, the ratio of their ages becomes 7:9 respectively. What is Ashok’s present age is ?
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?
The present ages of Amit and his father are in the ratio of 2 : 5 respectively. Four years hence the ratio of their ages will become 5 : 11 respectively. What was the father’s age 5 years ago?
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 of the present ages of Ajay and Rajveer is 7 : 4 respectively. After three years the ratio of their ages will be 5 : 3 respectively. Find the present age of Ajay.
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.