Question

The ratio between two numbers is 3:4 if each number is increased by 6 the ratio become 4:5 the difference between the numbers is

Answer 1

Answer:

• The difference between the number is 6.

Step-by-step explanation:

Given that:

• The ratio between two numbers is 3 : 4.
• Each number is increased by 6 the ratio become 4 : 5.

To Find:

• The difference between the numbers.

Let us assume:

• First number be 3x.
• Second number be 4x.

Each number is increased by 6:

• First number = 3x + 6
• Second number = 4x + 6

Finding the numbers:

According to the question.

⟶ (3x + 6)/(4x + 6) = 4/5

Cross multiplication.

⟶ 5(3x + 6) = 4(4x + 6)

⟶ 15x + 30 = 16x + 24

⟶ 16x - 15x = 30 - 24

⟶ x = 6

First number = 3x = (3 × 6) = 18

Second number = 4x = (4 × 6) = 24

Finding the difference between the number:

Difference = Big number - Small number

⇒ Difference = 24 - 18

⇒ Difference = 6

∴ The difference between the number = 6

Answer 2

Answer:

Given :-

Ratio between two numbers = 3:4

if each number is increased by 6 the ratio become 4:5

To Find :-

Difference between two numbers

Solution :-

Let us assume that the number are 3y and 4y

$\sf \: \dfrac{3y + 6}{4y + 6} = \dfrac{4}{5}$

$\sf \: 5(3y + 6) = 4(4y + 6)$

$\sf \: 15y + 30 = 16y + 24$

$\sf \: 15y - 16y = 24 - 30$

$\sf \: - y = - 6$

$\sf \: y = 6$

Number are

3(6) = 18

4(6) = 24

Difference = 24 - 18

Difference = 6