Question

Two numbers are in the ratio of 3:5 when 8 is added to both numbers ratio changes to 5:7 identify the both numbers​

Answer 1

$\sf Question࿐$

Two numbers are in the ratio 3:5. If 8 is added to both the numbers, the ratio becomes 2:3. What is the larger number?

$Answer࿐$

Let the rational between two numbers be x therefore

numbers will be 3x and 5x and their ratio 3x : 5x

If 8 is added to both the numbers, the ratio becomes 2:3.

⇒(3x + 8) : (5x + 8) = 2 : 3

$\bf ⇒\frac{(3x + 8)}{(5x + 8)} = \frac{2}{3}$

☇Cross multiplication☇

⇒2 ( 5x + 8) = 3 (3x + 8)

⇒10x + 16 = 9x + 24

⇒10x - 9x = 24 - 16

⇒x = 8

⇰This the two numbers are

⇒3x = 3 × 8 = 24

⇒5x = 5 × 8 = 40

$\therefore$

The larger number is 40.

❥HOPE IT HELPS YOU FRIEND...☺

Answer 2

Answer:

$Answer$

Step-by-step explanation:

Let the rational between two numbers be x therefore

numbers will be 3x and 5x and their ratio 3x : 5x

If 8 is added to both the numbers, the ratio becomes 2:3.

(3x + 8) : (5x + 8) = 2 : 3

(3x + 8) / (5x + 8) = 2 / 3

Cross multiplication

2 ( 5x + 8) = 3 (3x + 8)

10x + 16 = 9x + 24

10x - 9x = 24 - 16

x = 8

This the two numbers are

3x = 3 × 8 = 24

5x = 5 × 8 = 40

$\therefore Hence$

The larger number is 40