Question

two numbers are in the ratio 3:5 if their difference is 12 what are the numbers
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Answer 1

Answer:

in

Step-by-step explanation:

Since the two numbers have a ratio of 3:5, we can express them as 3x and 5x. Therefore, knowing that their difference is 12, we can write the following equation:

5x - 3x = 125x−3x=12

2x = 122x=12

\frac{2x}{2} = \frac{12}{2}

2

2x

=

2

12

x=6x=6

Since x is equal to 6, the two numbers are

3x = 3(6) = 183x=3(6)=18

5x = 5(6) = 305x=5(6)=30

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Answer 2

Answer:

Required numbers are 18 and 30.

Step-by-step explanation:

This is a problem of ratio.

Now question is what is ratio ?

Ratio is a form of fraction.By ratio,we can compare two identities.

If a and b be two numbers then ratio of a and b will be a:b.

For example, ratio of 25 and 50

$= 25 \ratio50 \\ = \frac{25}{50} \\ = \frac{1}{2} \\ = 1 \ratio 2$

Given,two numbers are in the ratio 3:5

Let first number be 3x and second number be 5x

It is also given that difference between two numbers is 12.

According to question,

$5x - 3x = 12$

We are subtraction 3x from 5x,

$2x = 12 \\ x = \frac{12}{2} \\ x = 6$

So, first number is (3×6) = 18 and second number is (5×6) = 30

$= 25 \ratio50 \\ = \frac{25}{50} \\ = \frac{1}{2} \\ = 1 \ratio 2$

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