Question

a postive number is 5 times of another number if 21 is addedto both the number then one of the new numbers becomes twize of the other new number what are the number​

Answer 1

Answer :

The numbers are 7 and 35

Step-by-step explanation :

Given that,

• The positive number is 5 times of another number

∴ The positive number is 5x

Let us assume the other number and the positive number as x and 5x respectively,

• 21 is added to both the number

∴

The positive new number is 5x + 21, and

The other new number is x + 21

• Also given that, one of the new numbers becomes twize of the other new number

∴The other new number is 2 ( x + 21 )

Solution :

The value of x is,

: ⟹ 5x + 21 = 2 ( x + 21 )

: ⟹ 5x + 21 = 2x + 42

: ⟹ 5x - 2x = 42 - 21

: ⟹ 3x = 21

: ⟹ x = 21 / 3

: ⟹ x = 7

Therefore, the numbers are,

• x

By putting the values,

⟹ x = 7

• 5x

By putting the values,

⟹ 5*7

⟹ 35

Hence, The numbers are 7 and 35.