Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively. Three years hence, the ratio of their ages will become 11 : 9 respectively. What is Anand’s present age in years?
papay dey Answered question February 14, 2025
Let’s solve the problem step by step.
Sameer’s present age = 5x
Anand’s present age = 4x
After 3 years:
Sameer’s age = 5x + 3
Anand’s age = 4x + 3
Given that the ratio of their ages after 3 years is 11:9:
(5x + 3) / (4x + 3) = 11/9
Cross-multiply:
9(5x + 3) = 11(4x + 3)
Expand and simplify:
45x + 27 = 44x + 33
Subtract 44x from both sides:
x + 27 = 33
Subtract 27 from both sides:
x = 6
Now, find Anand’s present age:
Anand’s present age = 4x
= 4(6)
= 24
The final answer is: 24
papay dey Answered question February 14, 2025