benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / For any positive real number x,⌊x⌋ denotes the largest integer less than or equal to x. If ⌊x⌋⋅x=36 and ⌊y⌋⋅y=71 where x,y>0, what is x+y equal to?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

For any positive real number x,⌊x⌋x, \lfloor x \rfloor denotes the largest integer less than or equal to xx. If ⌊x⌋⋅x=36\lfloor x \rfloor \cdot x = 36 and ⌊y⌋⋅y=71\lfloor y \rfloor \cdot y = 71 where x,y>0x, y > 0, what is x+yx + y equal to?
Plain-text mathematical notation (without MathML)
For any positive real number x,⌊x⌋ denotes the largest integer less than or equal to x. If ⌊x⌋⋅x=36 and ⌊y⌋⋅y=71 where x,y>0, what is x+y equal to?
Original LaTeX notation
For any positive real number $x, \lfloor x \rfloor$ denotes the largest integer less than or equal to $x$. If $\lfloor x \rfloor \cdot x = 36$ and $\lfloor y \rfloor \cdot y = 71$ where $x, y > 0$, what is $x + y$ equal to?

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
eca03df4-8dbc-59eb-9655-0385f03e38ea
task_key
test--eca03df4-8dbc-59eb-9655-0385f03e38ea
task_revision_id
1
config / split
/ test

Official source

initial import