Required Mathematical Intelligence

Chapter 147 The Age of the Brother and Sister

It is known that the square difference of the ages of the two brothers and sisters is 195, what are the ages of the two brothers and sisters?
[Answer: 195=3×5×13
Suppose the ages of two brothers and sisters are A and B respectively.

Then A2-B2=(AB)(AB)=195,

So A=22, B=17;

or A=34, B=31;

or A=14, B=1;

Or A=98, B=97.]
(End of this chapter)