Question

Q12. Two numbers are in the ratio 7:5. If 2 is subtracted from each of them, the
ratio becomes 3 : 2. Find the numbers.
[3]

Answer 1

Answer:

14 and 10

Step-by-step explanation:

let x be the number

7x:5x

according to question

7x-2:5x-2=3:2

cross multiply

3(5x-2)=2(7x-2)

15x-6=14x-4

therfore,  

x=2

7x:5x=14:10 because x=2

so the anser is 14 and 10

Answer 2

Answer:

• The first number = 14
• The second number = 10

Step-by-step explanation:

Given,

• Two numbers are in the ratio 7 : 5.
• If 2 is subtracted from each of them, The
• ratio becomes 3 : 2.

To Find,

• The numbers.

Solution,

Let's,

• The first number = 7x

So,

• The second number = 5x

Substraction by 2,

• The first number = 7x - 2

And,

• The second number = 5x - 2

According to Question,

(7x - 2) : (5x - 2) = 3 : 2

• → (7x - 2)/(5x - 2) = 3/2
• → 2(7x - 2) = 3(5x - 2)
• → 14x - 4 = 15x - 6
• → 6 - 4 = 15x - 14x
• → x = 2

The value of x is 2.

The first number = 7x

• The first number = 14

The second number = 5x

• The second number = 10

Required Answer,

• The first number = 14
• The second number = 10