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Math Olympiad | How to solve for "a" and "b" in this problem? 

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Math Olympiad Question
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Комментарии : 6   
@alexanderserov3952
@alexanderserov3952 Час назад
(a+b) ^2 = 44+(b-1)*b Therefore 44+(b-1)*b is a full square. (b-1)*b is an even number and is a product of two consecutive numbers. Therefore b=5 and a=3 or b=8 and a=2. Sorry for my English.
@pas6295
@pas6295 6 часов назад
Why do much of complications. Induction method is the easiest. Between 1 and 9 on seeing the equation by giving one value to one unknown and get the value of the other in order to satisfy the equation.
@pas6295
@pas6295 7 часов назад
a^2=9 is s a=3. Then 6b+b=44-9=35.So 7b=35. b=5. Answer ais 3 and b is 5.
@SALogics
@SALogics 8 часов назад
Very nice trick to solve this type of problems! ❤❤
@raj-nq8ke
@raj-nq8ke 7 часов назад
Comparison part is wrong .
@pas6295
@pas6295 7 часов назад
a =3 b=5.
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