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OlympiadBench / 2327 / The positive integers a and b have no common divisor larger than 1 . If the…

Problem

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

answer type

Numerical

is multiple answer

false

language

English

question

The positive integers

a

and

b

have no common divisor larger than 1 . If the difference between

b

and

a

is 15 and

\frac{5}{9}<\frac{a}{b}<\frac{4}{7}

, what is the value of

\frac{a}{b}

Plain-text mathematical notation (without MathML)

The positive integers a and b have no common divisor larger than 1 . If the difference between b and a is 15 and (5)/(9)<(a)/(b)<(4)/(7), what is the value of (a)/(b) ?

Original LaTeX notation

The positive integers $a$ and $b$ have no common divisor larger than 1 . If the difference between $b$ and $a$ is 15 and $\frac{5}{9}<\frac{a}{b}<\frac{4}{7}$, what is the value of $\frac{a}{b}$ ?

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 2327
task_id: 727f28a2-2fe6-5420-aa47-5f63f855654f
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--2327
task_revision_id: 1
config / split: OE_TO_maths_en_COMP / train

Official source

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