Number S can be written as:

S = 15 + a + 18 + b + 30,

with all the addends in ascending order and different from each other.

What values can *a* and *b* take knowing that S is a perfect square?

Hint
Number S lies in between which two numbers?
Consider first the values in between which
addends *a *and *b* must lie!

Check your answer

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