Question

7
3. Two numbers are in the ratio 3:5. If 9 be subtracted from each, then they are in the ratio of 12:23. Find the
second number
3x9 12
[Hint: Let the numbers be 3r and 5x. Then
Now, find x and then 5x]
5.8-9 23​

Answer 1

Answer:

Step-by-step explanation:

X=-2/3 and 5x= -10/3

Answer 2

Given :-

• Two numbers are in the ratio 3: 5. If 9 is subtracted from each, then they are in the ratio of 12 : 23.

To Find :-

• Second number = ?

Answer :-

• Second number = 55

Explaination :-

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

★ According to Question :-

→ 3x - 9/5x - 9 = 12/23

By cross multiplication we get :

→ (3x - 9)23 = 12(5x - 9)

→ 69x - 207 = 60x - 108

Combining like terms on both sides we get :

→ 69x - 60x = 207 - 108

→ 9x = 99

→ x = 99 ÷ 9

→ x = 11

Therefore,

• First number = 3x = 3(11) = 33
• Second number = 5x = 5(11) = 55

Hence,the second number is 55.