Question

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Answer 1

Answer:

Answer:

The numbers are 35 and 7.

Step-by-step explanation:

Given that:

A positive number is 5 times another number.

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

To Find:

What are the numbers?

Let us assume:

A positive number = 5x.

Another number = x

After adding 21 to both the numbers:

Positive number = (5x + 21)

Another number = (x + 21)

Finding the numbers:

According to the question.

⟶ (5x + 21) = 2(x + 21)

⟶ 5x + 21 = 2x + 42

⟶ 5x - 2x = 42 - 21

⟶ 3x = 21

⟶ x = 21/3

⟶ x = 7

Numbers are:

Positive number = 5x = 5 × 7 = 35

Another number = x = 7