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Age mathematics of the elderly
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The age of the two old people: 98, 97;

Age of two young people: 2217;

Age of two middle-aged people: 3431;

The fourth possible age combination is: 14 years old, 1 year old;

The algorithm is simple. The square difference between the two ages is 195, which means (a+b) (a-b) = 195.

It is a multiplication relationship, so first find the divisor of 195 (that is, 195/(a+b) must be an integer), and it is easy to know that * * of 195 is about1respectively; 3; 5; 13 four,

So we have the formula:

(1). (a-b) =1(a+b) =195/=195 Solvable: a = 98b=97.

(2). (A-B) = 3 (A+B) =195/3 = 65 Solvable: a = 34b=3 1

(3). (A-B) = 5 (A+B) =195/5 = 39 Solvable: a = 22b= 17.

(4). (a-b) =13 (a+b) =195/13 =15 Solvable: A =14; b= 1