the sum of two numbers is 42 and difference is 2.find the number
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Answers
Answered by
1
Answer:
22, 20
Step-by-step explanation:
Let the two numbers be x and y
x+y=42____1
y=42-x
x-y=2____2
Putting the value of y in eq. 2
x-42+x=2
2x-42=2
2x=2+42
2x=44
x=22
Putting the value of y in eq. 1
x+y=42
22+y=42
y=42-22
y=20
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Answered by
1
Answer:
Given That ;
Sum of two numbers is 42,
Difference of two numbers = 2
Let ;
The numbers ,
First number = x
Second number = y
- x + y = 42 ---- ( 1 )
- x - y = 2 -------( 2 )
Elimination Method :
Adding Both the Equations :
x + y = 42
x - y = 2
------------
2x = 44
-------------
Hence ;
2x = 44
x = 44 / 2
x = 22
Substitute x = 22 in Equation ( 1 ) :
x + y = 42
22 + y = 42
y = 42 - 22
y = 20
CHECKING :
Substitute x & y values in Equation ( 2 ) :
x - y = 2
22 - 20
2
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