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?
- 15
- 24
- 27
- 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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