Question

Answer the question in the screenshot down below & get brainliest and thanks, and also 5 stars

Answer 1

Answer:

Larger number = 13

smaller number = 8

Step-by-step explanation:

Given :

The sum of two numbers is 21

The difference of the two numbers is 5

To find :

the two numbers

Solution :

Let the larger number be 'x' and smaller number be 'y'

Their sum = 21 :

x + y = 21 --(1)

Their difference = 5 :

x – y = 5 --(2)

Add equations (1) and (2) :

x + y + x – y = 21 + 5

2x = 26

x = 26/2

x = 13

Substitute x = 13 in equation (1),

13 + y = 21

y = 21 – 13

y = 8

Therefore, the two numbers are 13 and 8

larger number = 13

smaller number = 8

Verification :

• Sum = 21

13 + 8 = 21

21 = 21

LHS = RHS

• Difference = 5

13 – 8 = 5

5 = 5

LHS = RHS

Hence verified!

Answer 2

Answer :

$~~~~~$

• Larger number = 13
• Smaller number = 8

$~~~~~~$

Given :-

$~~~~~~$

• The sum of two numbers is 21
• The difference of the two numbers is 5

$~~~~~$

To find :-

$~~~~~$

• The two numbers ?

$~~~~~$

Solution :-

$~~~~~~$

Let the larger number be ' x ' and smaller number be ' y '

$~~~~~~$

• Their sum = 21 :

$\rightarrow$ x + y = 21 --(1)

$~~~~~$

• Their difference = 5 :

$\rightarrow$ x - y = 5 --(2)

$~~~~~$\

• Add equations (1) and (2) :

$\rightarrow$ x + y + x - y = 21 + 5

$~~~~~~$$\rightarrow$ 2x = 26

$~~~~~~~~~~~~$$\rightarrow$ x = 26/2

$~~~~~~~~~~~~~~~~~~$$\rightarrow$ ${\underline{\boxed{\bf{\pmb{x = 13}}}}}$ $\large{\bf\green{★}}$

$~~~~~$

• Substitute x = 13 in equation (1),

$\rightarrow$ 13 + y = 21

$~~~~~~$ $\rightarrow$ y = 21 – 13

$~~~~~~~~~~~~$ $\rightarrow$ ${\underline{\boxed{\bf{\pmb{y = 8}}}}}$ $\large{\bf\pink{★}}$

$~~~~~~$

Therefore, the two numbers are 13 and 8

Larger number = 13

Smaller number = 8

$~~~~~~$

Verification :

$~~~~~~$

• Sum = 21

$\rightarrow$ 13 + 8 = 21

$~~~~~~$ $\rightarrow$ 21 = 21

$~~~~~~~~~~~~$ $\rightarrow$ ${\underline{\boxed{\sf{\pmb{LHS = RHS}}}}}$ $\large{\bf\red{★}}$

$~~~~~~$

• Difference = 5

$\rightarrow$ 13 – 8 = 5

$~~~~~~$ $\rightarrow$ 5 = 5

$~~~~~~~~~~~$ $\rightarrow$ ${\underline{\boxed{\sf{\pmb{LHS = RHS}}}}}$ $\large{\bf\blue{★}}$

$~~~~~$

$~~~~~~~~~~~~$ $\dag$ Hence Verified !!