GIFs and Fracs

Algebra Level 3

Solve the equation 13 ⌊ x ⌋ + 25 { x } = 271 , 13\lfloor x \rfloor +25\{x\}=271, where ⌊ ⋅ ⌋ \lfloor \cdot \rfloor is the greatest integer function and { ⋅ } \{\cdot\} is the fractional part function.

What is the sum of these roots, to one decimal place?


The answer is 40.4.

Arghyadeep Chatterjee by Arghyadeep Chatterjee , 22, India

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1 solution

The values of x will come such that 271 - 25{x} is either 260 or 247. So x is 20.44 or 19.96. Add the, to get 40.4

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