The ratio of Sara’s age 4 years ago and Vaishali’s age after 4 years is 1:1. Presently, the ratio of their ages is 5:3. Find the ratio between Sara’s age 4 years hence and Vaishali’s age 4 years ago.
Answers
Given :-
The ratio of Sara’s age 4 years ago and Vaishali’s age after 4 years is 1:1.
Presently, the ratio of their ages is 5:3.
To find :-
The ratio between Sara’s age 4 years hence and Vaishali’s age 4 years ago.
Solution :-
Given that
The ratio of present ages of Sara and Vaishali = 5:3
Let they be 5X years and 3X years
4 years ago , The age of Sara = (5X-4) years
4 years ago, The age of Vaishali = (3X-4) years
4 years later , The age of Sara = (5X+4) years
4 years later, The age of Vaishali = (3X+4) years
Given that
The ratio of Sara’s age 4 years ago and Vaishali’s age after 4 years = 1:1
Therefore, (5X-4) : (3X+4) = 1:1
=> (5X-4)/(3X+4) = 1/1
On applying cross multiplication then
=> 5X-4 = 3X+4
=> 5X-3X = 4+4
=> 2X = 8
=> X = 8/2
=> X = 4 years
Therefore, X = 4 years
Now,
The age of Sara after 4 years = (5X+4) years
= 5×4+4
= 20+4
= 24 years
The age of Vaishali 4 years ago = (3X-4) years
= 3×4-4
= 12-4
= 8 years
Now,
The ratio between Sara’s age 4 years hence and Vaishali’s age 4 years ago = 24:8
= 24/8
= (3×8)/(1×8)
= 3/1
= 3:1
Answer :-
The ratio between Sara’s age 4 years hence and Vaishali’s age 4 years ago = 3:1
Answer:
Currently, the ratio of their ages is 5:3.
Suppose, there ages are 5x and 3x.
Sara's age 4 years ago = 5x - 4
Vaishali's age after 4 years = 3x + 4
=> Ratio of Sara's age 4 years ago and Vaishali's age after 4 years is 1:1.
Therefore,
(5x-4)/(3x+4) = 1/1
Now, We get x = 4
We are required to find the ratio between Sara's age 4 years hence and Vaishali's age 4 years ago.
=> Sara's age : (5x-4)
=> Vaishali's age : (3x+4)
Putting the value of 'x' we get :-
(5x-4) / (3x+4) = 3/1 = 3:1
Hence, Ratio between Sara’s age 4 years hence and Vaishali’s age 4 years ago is 3:1.