Question

Express 289 as a sum of two consecutive integers.

Answer 1

Let x and x+1 be to consecutive integers.

Now x + x + 1 = 289
or, 2x + 1 = 289
or, 2x = 288
or, x = 288/2
or, x = 144

So, consecutive integers are 144 and 145

Now, 144 + 145 = 289