Question

Two number are in the ratio 3:4 if 8 is added to each number they became in the ratio 4:5. Find the number.

Answer 1

Answer:

24 and 32

Step-by-step explanation:

let the two numbers are 3x and 4x

If 8 is added to each number they became in the ratio 4:5.

$\frac{3x + 8}{</strong><strong>4</strong><strong>x + 8} = \frac{4}{5}$

$15x + 40 = </strong><strong>1</strong><strong>6</strong><strong>x + 32$

$</strong><strong>1</strong><strong>6</strong><strong>x - 15x = 40 - 32$

$x = 8$

The two numbers are -

• 3x = 3 × 8 = 24
• 4x = 4 × 8 = 32

Answer 2

Answer:

Step-by-step explanation:

Given :-

• Two number are in the ratio 3:4.
• If 8 is added to each number they became in the ratio 4:5.

To Find :-

• The numbers.

Solution :-

Let the numbers be 3x and 4x.

Now,

According to the Question,

⇒ (3x + 8) : (4x + 8) = 4 : 5

⇒ 3x + 8/4x + 8 = 4/5

⇒ 5(3x + 8) = 4(4x + 8)

⇒ 15x + 40 = 16x + 32

⇒ 15x - 16x = 32 - 40

⇒ - x = - 8

⇒ x = 8

Now, numbers are

1st number = 3x = 3 × 8 = 24

2nd number = 4x = 4 × 8 = 32

Hence, the two numbers are 24 and 32.