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

$\Large{\underline{\underline{\bf{Answer-}}}}$

❥ Numbers are 7 and 35.

$\Large{\underline{\underline{\bf{GiVen:-}}}}$

A positive number is 5 times another number

$\Large{\underline{\underline{\bf{To Find :-}}}}$

What are the New Numbers Obtained ?

Now ,

Let the first number be n and second number be 5n respectively.

❥ According to the Question :

If 21 is added to both the numbers then one of the new numbers becomes twice the other new number.As 5n is already Greater, Hence Other Number will be Twice of this.

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

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❥ Twice of First Number ↠ Second Number

❥ 2 × (n + 21) ↠ (5n + 21)

❥ 2n + 42 ↠ 5n + 21

❥ 42 - 21 ↠ 5n - 2n

❥ 21 ↠ 3n

Dividing both term by 3

❥ n ↠ 7

⠀⠀⠀⠀⠀

❥ Required Numbers :

❥ First Number = n ↠ 7

❥ Second Number = 5n ↠ 5(7) ↠ 35

↠Hence,

Numbers are 7 and 35.

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Answer 2

Step-by-step explanation:

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