SOLUTION: It is an odd two-digit number,the sum of its digits is 8,the sum of the squares of its digits is 50. What is it?

Question 151775: It is an odd two-digit number,the sum of its digits is 8,the sum of the squares of its digits is 50. What is it?
Found 2 solutions by prasd7982, jojo14344:
Answer by prasd7982(1) (Show Source): You can put this solution on YOUR website!
It is an odd two-digit number,the sum of its digits is 8,the sum of the squares of its digits is 50. What is it?
ANS :my ans is either 71 or 17
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
The answer is right, or (shown in Answer#111569)
But we'll try to show the person who addressed the question how we arrived to that answer if you don't mind.
Let, ----------> 1st digit
------------> 2nd digit
1st condition: the sum of its digit is 8,
-----------> eqn 1
2nd condition: the squares of its digits is 50,
-------> eqn 2
IN EQN 1 WE GET, and substitute in eqn 2:
------------> working eqn

--> divide the whole eqn by 2,
-------> it's perfect square that equals to:
, got 2 values:
,
Go back eqn 1,
-------> --->

AND,
-------> ---->

SO THERE YOU GO, THE ANSWERS EITHER OR
To check, this time try eqn 2: use values of or

------------>
Thank you,
Jojo

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