Question

The sum of twi intergers is 54 and thier difference is 10. Find the integers

Answer 1

Let x be one number and y be the other.

x + y = 54 ------------- (1)

x - y = 10 ------------- (2)

.

Add (1) and (2):

2x = 64

Divide both sides by 2:

x = 32

-

Plug x = 32 into (1):

32 + y = 54

Take away 32 from both sides:

y = 22

-

Answer: The two numbers are 32 and 22.

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Answer 2

Let x be one number and y be the other.

x + y = 54 ------------- (1)

x - y = 10 ------------- (2)

.

Add (1) and (2):

2x = 64

Divide both sides by 2:

x = 32

-

Plug x = 32 into (1):

32 + y = 54

Take away 32 from both sides:

y = 22

-

Answer: The two numbers are 32 and 22.