The Sum of Two Numbers is 37 and the Difference of Their Squares is 185 :

The sum of two numbers is 37 and the difference of their squares is 185, then the difference of the two numbers is:

  1. 3
  2. 10
  3. 4
  4. 5
Anurag Mishra Professor Asked on 17th November 2015 in Maths.
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1 Answer(s)

Answer:  (4) 5

Explanation:-
Let the two numbers be X and Y

The sum of two numbers is 37,
Then, X + Y = 37       …………………………….. (1)

The difference of their squares is 185.
Then, X² – Y² = 185               …………………. (2)

X² – Y² = (X – Y) (X + Y)
From equation (1) and (2),
185 = (X – Y) x 37
X – Y = 185/37
X – Y = 5

Then, the difference of two numbers is 5.

Hence, the answer is (4) 5.

Anurag Mishra Professor Answered on 17th November 2015.
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