SOLUTION: What is the sum of all those natural numbers which when added to 29 gives a two digit square number?

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Question 1043856: What is the sum of all those natural numbers which when added to 29 gives a two digit square number?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
From 1 to 70.

1+2+3+4+...+70,
an even number of consecutive natural numbers.

That summation is %2870%2F2%29%2870%2B1%29.
35%2A71
highlight%282485%29

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
You can easily do it yourself by working with all such two digit square numbers (36, 49, 64, 81).

It would be even better than if I will do it instead of you.

This problem is not for tutors.

It is for you.