Question

The ration of two number is 3: 5. if both numbers are increased by 5 their ratio becomes 2:3 find the number.​

Answer 1

Solution :

It is given that two numbers are in the ratio of 3 : 5.

Let these be 3x and 5x respectively.

Now, both these numbers are increased by 5.

Their new ratio becomes 2 : 3.

So,

[ 3x + 5]/[ 5x + 5] = 2/3

> 2( 5x + 5) = 3( 3x + 5)

> 10x + 10 = 9x + 15

> x = 5

Number 1 :

> 3x

> 3 x 5

> 15

Number 2 :

> 5x

> 5 x 5

> 25

Thus, the required numbers are 15 and 25 respectively.

This is the required answer.

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Answer 2

Answer:

Given :-

• Two numbers are in ratio 3:5
• When both increase by 5 then the ratio become 2:3

To Find :-

Number

Solution :-

Let the number 3x and 5x

$\tt \: Original \: number = 3x :5x$

$\tt \: \dfrac{3x + 5}{5x + 5} = \dfrac{2}{3}$

Cross multiplication

$\tt \: 3(3x + 5) = 2(5x + 5)$

$\tt \: 9x + 15 = 10x + 10$

$\tt \: 10x - 9x = 15 - 10$

$\mathfrak \pink{x = 5}$

Numbers are :-

$\sf \: 3x = 3(5) = 15$

$\sf \: 5x = 5(5) = 25$