Question

The sum of two numbers is 11 and their difference is 5.
Find the numbers.

Answer 1

Answer: x = 8,  y = 3

Step-by-step explanation:

Let the numbers be x and y

x+y = 11

x-y=5

x=11-y

Now we have to switch the values,

11-y-y=5

11-2y = 5

-2y = 5-11

-2y = -6

y = 3

x = 8

Answer 2

AnsWer :

• x = 8.
• y = 3.

To FinD :

Find the numbers.

SolutioN :

Let,

• The number be x and y.

Cade 1.

• The sum of two numbers is 11.

→ x + y = 11 ______ ( 1 )

$\rule{90}2$

Case 2.

• Their difference is 5.

→ x - y = 5._______ ( 2 )

★ By Equation ( 1 ) and ( 2 )

x + y = 11.

x - y = 5.

_________

2x = 16.

_________

→ 2x = 16.

→ x = 8.

Now, Putting the value of x = 8 in Equation ( 2 ).

→ x - y = 5.

→ 8 - y = 5.

→ - y = 5 - 8.

→ - y = - 3.

→ y = 3.

Therefore, the value of x is 8 and y is 3.

$\rule{200}3$

VerificatioN :

Taking Equation ( 1 )

→ x + y = 11.

→ 8 + 3 = 11.

→ 11 = 11.

$\rule{90}2$

Taking Equation ( 2 )

→ x - y = 5.

→ 8 - 3 = 5.

→ 5 = 5.

Hence Verify.