Sticky Note
The sum of the squares of two positive integers is 100 and the difference of their squares is 28. What is the sum of the number?
  1. 15
  2. 24
  3. 27
  4. 14
Explanation

Suppose those integers are A and B and A is greater than B.

Then,as per first condition ,A2+B2=100……………Equation-1.

Next,as per second condition,A2 - B2=28……..Equation-2.

Now,On adding the Eqn.-1 &2,we get

2 x A2=128

Hence,A2=64,So A=8.

Putting this value in Eqn-1,we get

B2=100–64=36,So B=6.

Hence,their sum is 8+6=14.


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