Question

Two numbers are in the ratio 7:3. If they differ by 12, what are the numbers?

Answer 1

Step-by-step explanation:

Given :-

Two numbers are in the ratio 7:3. If they differ by 12.

To find :-

What are the numbers?

Solution :-

Given that

The ratio of two numbers = 7:3

Let they be 7X and 3X

The difference between the two numbers

= 7X - 3X

= 4X

According to the given problem

The two numbers differ by 12

=> 4X = 12

=> X = 12/4

=> X = 3

Therefore, The value of X = 3

7X = 7×3 = 21

3X = 3×3 = 9

Therefore, the numbers are 21 and 9

Answer:-

The two numbers for the given problem are

21 and 9

Check:-

The two numbers = 21 and 9

Their ratio = 21:9

=> 21/9

=> (3×7)/(3×3)

=> 7/3

=> 7:3

Their difference = 21-9 = 12

Verified the given relations in the given problem.

Used formulae:-

→ The ratio of two numbers a and b = a:b

→ a:b can be written as a/b

Answer 2

Answer:

Given :-

• Two numbers are in the ratio 7:3 .If they differ by 12.

$\mathcal\pink {♧To find :-}$

• What are the numbers.

$\mathcal\pink{Explanation: -}$

• Let's take ratios be 7x and 3x.

• $here \: the \: difference \: between \: two \: numbers = 7x - 3x = 4x$

• From the given question,

• $two \: numbers \: is \: differs \: by \: 12 \: we \: get$

• $4x = 12 = x = \frac{12}{4} = x = 3$

• $therefore \: the \: value \: of \: x = 3. \: \: \: then \: the \: numbers \: are \: = 7x = 7 \times 3 = 21 \: and3x = 3 \times 3 = 9.$

$\mathcal\pink {♧Hence:-}$

• The numbers are 21 and 9.

• This is the correct answer for your question.

♧Hope it helps u mate .

♧Thank you .