Math, asked by Anonymous, 18 days ago


\underline\mathcal\pink{Question:-}
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

Answered by tennetiraj86
161

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

Answered by oOItzStylishQueenOo
129

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.

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