benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / A book is said to have n leaves if it is composed of n pieces of paper. On the other hand, the number of pages is twice the number of leaves because each side of a piece of paper i…

Problem

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

problem

A book is said to have nn leaves if it is composed of nn pieces of paper. On the other hand, the number of pages is twice the number of leaves because each side of a piece of paper is defined as a page. If the number of pages in a book is 33 more than a multiple of 77, and the number of leaves is greater than 100100, then what is the smallest possible number of leaves?
Plain-text mathematical notation (without MathML)
A book is said to have n leaves if it is composed of n pieces of paper. On the other hand, the number of pages is twice the number of leaves because each side of a piece of paper is defined as a page.

If the number of pages in a book is 3 more than a multiple of 7, and the number of leaves is greater than 100, then what is the smallest possible number of leaves?
Original LaTeX notation
A book is said to have $n$ leaves if it is composed of $n$ pieces of paper. On the other hand, the number of pages is twice the number of leaves because each side of a piece of paper is defined as a page.

If the number of pages in a book is $3$ more than a multiple of $7$, and the number of leaves is greater than $100$, then what is the smallest possible number of leaves?

level

Level 4

type

Number Theory

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
ff1f11dc-2ee2-589f-afc6-6976d7415773
task_key
number~5ftheory--test--ff1f11dc-2ee2-589f-afc6-6976d7415773
task_revision_id
1
config / split
number_theory / test

Official source

initial import