The ratio of the age of Ajay and Atul is 4:5. After 5 years the ratio will be 5:6. Find the ratio of their age after 20 years.
Question
The ratio of the age of Ajay and Atul is 4:5. After 5 years the ratio will be 5:6. Find the ratio of their age after 20 years.
Solution
Let's solve this step by step:
Step 1: Let's assume the present ages of Ajay and Atul are 4x and 5x respectively.
Step 2: According to the problem, after 5 years the ratio of their ages will be 5:6. So, we can write it as (4x+5)/(5x+5) = 5/6.
Step 3: Cross multiply to solve for x. We get 24x + 30 = 25x + 25.
Step 4: Simplify the equation to find the value of x. We get x = 5.
Step 5: Substitute x = 5 in the expressions of their present ages. So, Ajay's present age = 4x = 20 years and Atul's present age = 5x = 25 years.
Step 6: Now, we need to find the ratio of their ages after 20 years. So, Ajay's age after 20 years = 20 + 20 = 40 years and Atul's age after 20 years = 25 + 20 = 45 years.
Step 7: Therefore, the ratio of their ages after 20 years will be 40:45 or 8:9.
Similar Questions
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.
The ratio of the current ages of Ajay and Vijay is 7:4.The ratio between Ajay’s age 6 years ago and Vijay’s age 6 years from now is 1:1. Find the ratio between Ajay’s age 12 years hence and Vijay’s age 12 years ago.
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 ?
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?
werThe 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?Options40 years30 years45 years35 years
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.