# What are Those Two Numbers Whose Sum is 58 and Difference is 28?

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## What are Those Two Numbers Whose Sum is 58 and Difference is 28?

A. 43 AND 15
B. 56 AND 25
C. 10 AND 10
D. 56 AND 10

Explain:-

Let the two numbers be x and y,
then according to the question,
it is given that the sum of the numbers is 58
so,

x+y=58 ………..(i)

and the difference of the two numbers is 28
so

x−y=28 …………(ii)

Adding the above two equations (i) and (ii)

⇒x+y+x−y=58+28
⇒2x=86
⇒x=43

Now ,
Putting the value of x in equation (i)
We get,

⇒43+y=58
y=58−43⇒15

We get the value of x=43 and y=15
Therefore the numbers are 43 and 15

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