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​

Answer 1

Answer:

x=7,y=35

Step-by-step explanation:Let the numbers be x,y

⟹y=5x

21 is added

The numbers are

y+21,x+21

According to question

y+21=2(x+21)

5x+21=2x+42

5x=2x+21

3x=21

x=7⟹y=35

Answer 2

Given:

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

To find:

• The numbers.

Solution:

❐ Let the other number be x, then according to the given question first number will be 5x.

Now ATQ,

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

⇒ x + 21 = 5x + 21

⇒ 2(x + 21) = 5x + 21

⇒ 2x + 42 = 5x + 21

⇒ 42 - 21 = 5x - 2x

⇒ 21 = 3x

⇒ x = 21/3

⇒ x = 7

Hence,

• First number = 5x = 5(7) = 35
• Second number = x = 7

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