Question

A positive number is 3 times another number. if 3 is added to the smaller number the difference between new number and greater becames 3. what are the numbers ​

Answer 1

Answer:

The numbers are 3 and 9.

Step-by-step explanation:

Gívєn -

The positive Number is = 3 times another number

When 3 is added to the smaller number = the difference between new number and greater becames 3.

Tσ fínd -

The Numbers

Sσlutíσn -

Let the numbers be -

• One as x
• Second as 3x

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According to the Question -

When 3 is added to the smaller number = the difference between new number and greater becames 3.

Smaller number = x --> 3 added --> (x + 3)

$\sf{\implies} \:3x - (x + 3) = 3$

$\sf{\implies} \: 3x - x - 3 = 3$

$\sf{\implies} \: 2x - 3 = 3$

$\sf{\implies} \: 2x = 3 + 3$

$\sf{\implies} \: 2x = 6$

$\sf{\implies} \: x = \dfrac{6}{2}$

$\sf{\implies} \: x = 3$

Smaller Number = 3

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Larger Number =

$\sf{\implies} \: 3(3)$

$\sf{\implies} \: 9$

One Number = 3

Second Number = 9

$\therefore$ The numbers are 3 and 9.

$\rule{300}{1.5}$

Verification :-

$\sf{\implies} \:3x - (x + 3) = 3$

$\sf{\implies} \:9 - (3 + 3) = 3$

$\sf{\implies} \:9 - 6 = 3$

$\sf{\implies} \:3 = 3$

$\therefore$ The numbers are 3 and 9.

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The numbers are 3 and 9.

$\mathfrak{\large{\underline{\underline{Step-by-step-explanation :-}}}}$

Given :

The positive Number is 3 times another number

When 3 is added to the smaller number = the difference between new number and greater becames 3.

To find -

The Numbers

Solution -

✯ $\textbf{\small{\underline{Consider the numbers as -}}}$

• One as y
• Second as 3y

$\rule{300}{1.5}$

✯ $\textbf{\small{\underline{According given in the Question -}}}$

When 3 is added to the smaller number, the difference between new number and greater becames 3.

Smaller number is y, When 3 is added = (y + 3)

$\longrightarrow$ 3y - (y + 3) = 3

$\longrightarrow$ 3y - y - 3 = 3

$\longrightarrow$ 2y - 3 = 3

$\longrightarrow$ 2y = 3 + 3

$\longrightarrow$ 2y = 6

$\longrightarrow$ y = 6/2

$\longrightarrow$ y = 3

One Number = 3

$\rule{300}{1.5}$

★ Value of 3x

$\longrightarrow$ 3(3)

$\longrightarrow$ 9

Second Number = 9

The Numbers are -

• 3
• 9

$\therefore$ The numbers are 3 and 9.

$\rule{300}{1.5}$

$\mathfrak{\large{\underline{\underline{Verification :-}}}}$

$\longrightarrow$ 3(3) - (3 + 3) = 3

$\longrightarrow$ 9 - 6 = 3

$\longrightarrow$ 3 = 3

$\therefore$ The numbers are 3 and 9.