Question

plz solve this question.....fast​

Answer 1

Question :-

The ratio of two numbers is 2/3. If 2 is subtracted from the first and 8 from the second the ratio becomes reciprocal of original ratio. Find the numbers.

Solution :-

Ratio of two numbers = 2/3

Let the two numbers be 2x and 3x

Given :-

If 2 is subtracted from first i.e 2x and 8 from second i.e 3x the ratio becomes reciprocal of original ratio i.e 3/2

⇒ (2x - 2) / (3x - 8) = 3/2

By cross multiplication

⇒ 2(2x - 2) = 3(3x - 8)

⇒ 4x - 4 = 9x - 24

⇒ - 4 + 24 = 9x - 4x

⇒ 20 = 5x

⇒ 20/5 = x

⇒ 4 = x

⇒ x = 4

→ One of the number = 2x = 2(4) = 8

→ Second number = 3x = 3(4) = 12

Hence, 8, 12 are the required numbers.

Answer 2

Answer:

8 and 12 are the numbers.

Step-by-step explanation:

2 / 3 is the ratio of two numbers.

Let 2A and 3A be the two numbers.

= ( 2A - 2 ) / ( 3A - 8 ) = 3 / 2

Cross multiplying , We get

= 2 ( 2A - 2 ) = 3 ( 3A - 8 )

= 4A - 4 = 9A - 24

= -4 + 24 = 9A - 4A

= 20 = 5A

= 20 / 5 = A

A = 4

• 2A = 2 ( 4 ) = 8 is the first number and
• 3A = 3 ( 4 ) = 12 is the second number.

Therefore , 8 and 12 are the two numbers respectively.