Question

One number is three times the other number. The difference between the two numbers is 12. Find the two numbers

Answer 1

$\underline { \Large { \sf \orange{Clarification :}}}$

Here , we are given that the one number is equivalent three times the other number and the difference between them is 12. We have to find out the value of these two numbers.

Firstly, we'll assume these two numbers as two variables, say x and y. Then as per the given statements in the provided question, we'll form algebraic equations and by solving that equations we'll find the value of these two numbers.

$\underline { \Large { \sf \orange{Explication \:of \: steps :}}}$

Let,

$\longrightarrow \sf {One \: Number = x}$

$\longrightarrow \sf {Other \: Number = y}$

As per the given question,

$\longrightarrow \sf {One \: Number = 3(Other \: Number)}$

$\longrightarrow \sf { x = 3y}$

Let it be the equation (i).

Also,

$\longrightarrow \sf {One \: Number - Other \: Number= 12 }$

$\longrightarrow \sf {x- y= 12 }$

Substitute the value of x from equation (i).

$\longrightarrow \sf {3y- y= 12 }$

$\longrightarrow \sf {2y= 12 }$

$\longrightarrow \sf { y= \cancel{\dfrac{ 12 }{2} }}$

$\longrightarrow\boxed{ \sf\orange {y= 6}}$

Now, finding the value of x. Substitute the value of y in the equation (i).

$\longrightarrow \sf { x = 3y}$

$\longrightarrow \sf { x = 3(6)}$

$\longrightarrow\boxed{ \sf\orange {x= 18}}$

Therefore, the two numbers are 18 and 6 .

Answer 2

$\large{ \underline{ \underline{ \sf{ \color{lime}{GIVEN:-}{} }{} }{} }{} }{}$

• Two Numbers one number is greater than other number.

• The difference between the numbers is 12

$\large{ \underline{ \underline{ \sf{ \color{lime}{TO \: FIND:-}{} }{} }{} }{} }{}$

The Two Numbers according to the Question mentioned above.

$\large{ \underline{ \underline{ \sf{ \color{lime}{SOLUTION:-}{} }{} }{} }{} }{}$

Let the Two numbers be x and y in which one number is three times the other number.

x = 3y _____1

And the Difference between them is 12.

x - y = 12

From the Above Equation we know that x = 3y from 1

3y - y = 12

2y = 12

[ y = 6 ]

Let Us substitute the Value of y in the equation.

x - y = 12

x - 6 = 12

x = 12 + 6

[ x = 18 ]

_____________________________________

Hence the Numbers Are 18 and 6.

More To Know :-

• In these questions the action and the difference or the Addition of the Two Numbers are given the Candidate must substitute the Values of Each and Find the Answers of These Linear Equations.

• One should name these unknown Numbers with Appropriate Variables to find the Solution