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
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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.
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