Question

2 number differ by 5 if their sum is 19 then find two number​

Answer 1

Answer:

The Numbers are 12 and 7.

Step-by-step explanation:

The numbers differ by = 5

Their sum is = 19

The Number =

Let the numbers be as -

• One Number as x
• Second Number as (19 - x)

Their Difference is 5 so, the Equation formed =

$\textbf{x - (19 - x) = 5 }$

$\bf{\implies} \: x - (19 - x) = 5$

$\bf{\implies} \: x -19 + x= 5$

$\bf{\implies} \: x + x= 5 + 19$

$\bf{\implies} \: 2x= 24$

$\bf{\implies} \: x = \frac{24}{2}$

$\bf{\implies} \: x = 12$

One Number is 12

Second Number =

$\bf{\implies} \: (19 - x)$

$\bf{\implies} \: 19 - 12$

$\bf{\implies} \: 7$

Second Number = 7

$\therefore$ The Numbers are 12 and 7.

Let's Verify it !!

$\bf{\implies} \: 12 +7$

$\bf{\implies} \: 19$

Sum is 19

$\bf{\implies} \: 12 - 7$

$\bf{\implies} \: 5$

Difference is 5

$\therefore$ The Numbers are 12 and 7.

Answer 2

Answer:

The numbers are 12 and 7.

Step-by-step-explanation:

Given :

Difference between the two numbers is = 5

Their sum is = 19

To Find :

The two numbers

Solution :

Consider the numbers as -

• One Number as x
• Second Number as y

$\longrightarrow$ x - y = 5

$\longrightarrow$ x = 5 + y ......... [ Equation 1 ]

$\rule{300}{1.5}$

$\longrightarrow$ x + y = 19

$\longrightarrow$ (5 + y) + y = 19

$\longrightarrow$ 5 + 2y = 19

$\longrightarrow$ 2y = 19 - 5

$\longrightarrow$ 2y = 14

$\longrightarrow$ y = 14/2

$\longrightarrow$ y = 7

$\rule{300}{1.5}$

Place the Value of y in Equation 1

$\longrightarrow$ x = 5 + 7

$\longrightarrow$ x = 12

• x = 12
• y = 7

$\therefore$ The numbers are 12 and 7.

$\rule{300}{1.5}$

Verification :

Check of their Sum is 19 and Difference is 5 or not.

$\longrightarrow$ 12 - 7 = 5

$\longrightarrow$ 5 = 5

$\longrightarrow$ 12 + 7 = 19

$\longrightarrow$ 19 = 19

$\therefore$ The numbers are 12 and 7.