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
Currently, the ratio of their ages is 5: 3. Suppose, their 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
Solving, 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
Answer:
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Step-by-step explanation:
=> Currently,
=> the ratio of their ages is 5: 3.
=> Suppose, their 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
=> Solving,
=> 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
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