Question

the sum fo 2 no. s is 11 and their difference is 5 find the no​

Answer 1

Answer:

6

Step-by-step explanation:

Answer 2

Let the numbers be x and y respectively.

According to the question,

x + y = 11 =≥ Equation 1

x - y = 5 =≥ Equation 2

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x + y = 11

x = 11 - y

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substituting the value of x as (11-y) in equation 2,

x - y = 5

(11-y) - y = 5

by removing the brackets

11 - y - y = 5

adding the like terms,

11 - 2y = 5

Transposing (-2y) to the RHS (Right Hand Side),

11 = 5 + 2y

Transposing 5 to the LHS (Left Hand Side)

11 - 5 = 2y

6 = 2y

$\dfrac{6}{2} = y$

by reducing to the lowest terms,

3 = y

Therefore,

x = 11 - y

x = 11 - 3

x = 8

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Verification:

substituting x for 8 and y for 3,

x + y = 11

8 + 3 = 11

LHS = RHS = 11

x - y = 5

8 - 3 = 5

LHS = RHS = 5

Hence verified

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