The Product of the Two Numbers is :

The sum of two numbers is 75 and their difference is 25. The product of the two numbers is:

  1. 1000
  2. 1350
  3. 1250
  4. 125
Anurag Mishra Professor Asked on 17th November 2015 in Maths.
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1 Answer(s)

Answer:  (3) 1250 

Explanation:-
Let the two numbers be X and Y.

The sum of two numbers is 75
Then, X + Y = 75  …………………………. (1)

The difference two numbers is 25
Then, X  – Y = 25  ………………………… (2)

As we know that, (X + Y)² – (X – Y)² = 4 X Y
Now, From equation (1) & (2),
75² – 25² = 4 X Y
5000 – 625 = 4 X Y
5000 = 4 X Y
X Y = 5000/4
X Y = 1250

Then, the product of the numbers is 1250.

Hence, the answer is (3) 1250.

Anurag Mishra Professor Answered on 17th November 2015.
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