Math, asked by msalter, 3 months ago

the sum of 2 numbers is 29 and their difference is 5

Answers

Answered by aditikanwadkar
2

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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Answered by Khadijah21
1

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.

Khadijah21

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