benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Two brothers took x cows to the market, and they sold each cow for x dollars. After selling the cows, they divided the money by giving 10 to the older brother, 10 to the younger br…

Problem

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

problem

Two brothers took xx cows to the market, and they sold each cow for xx dollars. After selling the cows, they divided the money by giving $10\$10 to the older brother, $10\$10 to the younger brother, $10\$10 to the older, $10\$10 to the younger, and so on. At the last division of money, the older brother received $10\$10, but the younger brother received less than $10\$10. How many dollars must the younger brother have received at the last division?
Plain-text mathematical notation (without MathML)
Two brothers took x cows to the market, and they sold each cow for x dollars. After selling the cows, they divided the money by giving $10 to the older brother, $10 to the younger brother, $10 to the older, $10 to the younger, and so on. At the last division of money, the older brother received $10, but the younger brother received less than $10. How many dollars must the younger brother have received at the last division?
Original LaTeX notation
Two brothers took $x$ cows to the market, and they sold each cow for $x$ dollars. After selling the cows, they divided the money by giving $\$10$ to the older brother, $\$10$ to the younger brother, $\$10$ to the older, $\$10$ to the younger, and so on. At the last division of money, the older brother received $\$10$, but the younger brother received less than $\$10$. How many dollars must the younger brother have received at the last division?

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
94e027af-8334-5cde-98d2-8ed7e73363e1
task_key
number~5ftheory--test--94e027af-8334-5cde-98d2-8ed7e73363e1
task_revision_id
1
config / split
number_theory / test

Official source

initial import