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MATH / I pick two whole numbers x and y between 1 and 10 inclusive (not necessarily distinct). My friend picks two numbers x−4 and 2y−1. If the product of my friend's numbers is one great…

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problem

I pick two whole numbers xx and yy between 11 and 1010 inclusive (not necessarily distinct). My friend picks two numbers x−4x -4 and 2y−12y-1. If the product of my friend's numbers is one greater than the product of my numbers, then what is the product of my numbers?
Plain-text mathematical notation (without MathML)
I pick two whole numbers x and y between 1 and 10 inclusive (not necessarily distinct). My friend picks two numbers x−4 and 2y−1. If the product of my friend's numbers is one greater than the product of my numbers, then what is the product of my numbers?
Original LaTeX notation
I pick two whole numbers $x$ and $y$ between $1$ and $10$ inclusive (not necessarily distinct). My friend picks two numbers $x -4$ and $2y-1$. If the product of my friend's numbers is one greater than the product of my numbers, then what is the product of my numbers?

level

Level 5

type

Algebra

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Source and history

task_id
278f34ad-c79f-5ec9-ab42-8dc8a44d8e9e
task_key
algebra--test--278f34ad-c79f-5ec9-ab42-8dc8a44d8e9e
task_revision_id
1
config / split
algebra / test

Official source

initial import