the sum of 2 numbers is 29 and their difference is 5
Answers
Answer:
34
Step-by-step explanation:
One Number is X and Another Number is Y. Now, Adding the 1st and 2nd equations, we get, ( X + Y ) + ( X - Y ) = 29 + 5. 2X = 34.
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Of x and y are two numbers then according to given condition,
x+y=29,
x-y=5,
Adding above both equations we get,
2x=34,
x=34÷2,
x=17.
As we know from condition that,
x+y=29,
Putting the value of x in the above equation,
17+y=29,
y=29-17,
y=12.
We can check the values of x and y as follows:-
x+y=29,
Putting the values of x and y in the above equation,
17+12=29,
29=29,
Hence proved.
We can also prove from second equation,
x-y=5,
Putting the values of x and y in the above equation,
17–2=5,
5=5.
Hence proved.
We can also get values of x and y by subtracting the equations,
According to given condition,
x+y=29,
x-y=5,
Subtracting the above two equations we get,
2y=24,
y=24÷2,
y=12,
Putting the value of y in the first equation,
x+y=29,
x+12=29,
x=29-12,
x=17,
Also if we put value of y in equation we get sane result,
x-y=5,
x-12=5,
x=5+12,
x=17.
Hence answer is the same.
Again we can check both values of x and y as follows:-
As per given conditions,
x+y=29,
x-y=5,
We put the values of x and y in above equations,
From first equation we get
x+y=29,
17+12=29,
29=29.
Hence proved.
Similarly by putting the values of x and y in second equation we get,
x-y=5,
17-12=5,
5=5.
Hence proved.
So the two numbers are 17 and 12.
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