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 :

• Numbers are 7 and 35

Given :

• A positive number is 5 times another number
• 21 is added to both the numbers
• One of the new numbers become twice the other new number

To find :

• Numbers

Solution :

• Let the other number be x

A positive number is 5 times another number ,

• Let the positive number be 5x

Given , 21 is added to both the numbers then we have to add that numbers we get,

• x + 21
• 5x + 21

According to question, one of the new numbers become twice the other new number then,

》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

Hence,

• x = 7
• 5x = 5(7) = 35

Hence, Numbers are 7 and 35