Question

A positive rational number is 5 time another number. If 21 is added to both the number . then one of the new number becomes twice the other new number . what are the number.​

Answer 1

Answer:

The required numbers are 7 and 35.

Step-by-step explanation:

Given :

• A positive rational number is 5 times another number.

• If 21 is added to both the number, then one of the new numbers become twice the other new number.

To find :

the numbers

Solution :

Let the "another number" be x .

Then, the positive number = 5x

Adding 21 to both the numbers,

positive number becomes = (5x + 21)

other number becomes = (x + 21)

According to the given condition,

5x + 21 = 2(x + 21)

5x + 21 = 2x + 42

5x - 2x = 42 - 21

 3x = 21

 x = 21/3

 x = 7

∴ The other number = 7

The positive number = 5(7) = 35

Therefore, the required numbers are 7 and 35.