Question

10. Two numbers are in the ratio of 5 : 7. If 3 is subtracted from each of them, the ratio becom 2:3. Find the numbers.​

Answer 1

Required Answer :

The two numbers are :

• 15 and 21

Given :

• Ratio of the two numbers = 5 : 7
• The ratio of the two numbers when 3 is subtracted to both the numbers = 2 : 3

To find :

• The two numbers

Solution :

Let,

• The first number = 5x
• The second number = 7x

According to the question,

⇒ (5x - 3)/(7x - 3) = 2/3

⇒ 3(5x - 3) = 2(7x - 3)

⇒ 15x - 9 = 14x - 6

⇒ 15x - 14x = - 6 + 9

⇒ x = 3

⇒ The value of x = 3

Substituting the value of x :

First number :

⇒ First number = 5x

⇒ First number = 5(3)

⇒ First number = 15

Second number :

⇒ Second number = 7x

⇒ Second number = 7(3)

⇒ Second number = 21