Math, asked by ritatyagi2533, 9 months ago

Two numbers are such that the ratio between them is 3:5.If each increased by 5,the ratio between the new numbers so formed is 2:3.Find the original numbers.

Answers

Answered by kamleshkantaria
2

Answer:

The original numbers are 15 and 25

and their ratio = 3:5

                        = 15:25

Step-by-step explanation:

To find the original numbers

Step 1 = Let the two numbers be 3x and 5x respectively

That is 3x:5x or 3x/5x(ratio actually means division)

Follow the conditions given in the question

That is each increased by 5 and the ratio between the new numbers so formed is 2:3 or 2/3

So now the numbers formed like this -

3x + 5/5x + 5

Step 2 = Now equate the ratios with their results

That is,

3x + 5/5x + 5 = 2/3

3(3x + 5) = 2(5x + 5)[Through cross multiplication]

9x + 15 = 10x + 10

Now take the like terms to one side by changing their signs

9x - 10x = 10 - 15

-x = -5

cut the common sign(negative)

x = 5

The original numbers are

= 3x = 3 X 5(x = 5) = 15

= 5x = 5 X 5(x = 5) = 25

Their ratio is 3:5 = 3x:5x = 15:25

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