Question

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

Answer 1

Answer:

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

Step-by-step explanation:

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Answer 2

Given :-

• A positive number is 5 times another number.

• After adding 21 to both numbers, one of the new number becomes twice the other new number.

To Find :-

• What are the numbers?

Solution :-

Let the positive number be x.

As per question :-

Another number which is 5 times of it = 5x

After adding 21 :-

1st number will be = x +21

and 2nd number will be = 5x + 21

According to the question :-

2nd number = 2 × 1 st number

⟼ 5x +21 = 2 ( x + 21)

⟼ 5 x + 21 = 2x + 42

⟼ 3x = 21

⟼ x = 21/3

$⟼x \: = 7$

Hence, the 1st number is = 7

2nd number is = 5x = 35

Therefore, required numbers are 7 and 35.