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

Answer (A) 43 AND 15

Explain:-

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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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