Question

a positive number is 5 times another number. if 21 is added to both the numbers, then one of the new numbers become twice the other new number. what are the new numbers??? ​

Answer 1

Answer:

Step-by-step explanation:

Let the other number be x

Given that,

A positive number is 5 times that number

Therefore positive number = 5x

Now, 21 added to both numbers,

Therefore, New other number = x + 21

New positive number = 5x + 21

Given that,

One of the new number becomes twice of the new other number

5x + 21 = 2 ( x + 21 )

5x + 21 = 2x + 42

5x - 2x + 21 = 42

3x + 21 = 42

3x = 42 - 21

3x = 21

x = 21/3

x = 7

Therefore, another number is x = 7.

Positive number is 5x = 5 x 7 = 35

Answer 2

$\huge\bold\red\natural{Question}$

• A positive number is 5 times another number. If 21 is added to both the numbers,
• then one of the new numbers becomes twice the other new number. What are the
• numbers?

$\fbox\ \orange{A}\fbox\pink{N}\fbox\blue{S}\fbox\red{W}\fbox \purple{E}\fbox\red{R}$

Solve:-

First step :-

First step :-We have to let,

Positive Number = 5x

The Other number = x

Now,

According to question ❓ :-

We have to add 21 to both numbers.

On adding 21 to both numbers,

We get,

We get [5x + 21] and [x + 21].

According to the given condition,

We have-

2( x + 21 ) = (5x + 21)

2x + 42 = 5x + 21

2x = 5x + 21 - 42

2x - 5x = -21

-3x = -21

x =

$\frac{ - 21}{ - 3}$

x = 7

Hence,

Positive Number = 5x

The value of x is 7.

So,

5x = 5×7

=35

Hence , the positive Number is 35.

The other number = x

The value of x is 7.

So,

Value of other number is 7.

Hence,

The Answer is verified.

$Hope this helps uh☺️❤️✌️$[tex][/tex]