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OlympiadBench / 2239 / At present, the sum of the ages of a husband and wife, P, is six times the sum…

Problem

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

question

At present, the sum of the ages of a husband and wife,

P

, is six times the sum of the ages of their children,

C

. Two years ago, the sum of the ages of the husband and wife was ten times the sum of the ages of the same children. Six years from now, it will be three times the sum of the ages of the same children. Determine the number of children.

Plain-text mathematical notation (without MathML)

At present, the sum of the ages of a husband and wife, P, is six times the sum of the ages of their children, C. Two years ago, the sum of the ages of the husband and wife was ten times the sum of the ages of the same children. Six years from now, it will be three times the sum of the ages of the same children. Determine the number of children.

Original LaTeX notation

At present, the sum of the ages of a husband and wife, $P$, is six times the sum of the ages of their children, $C$. Two years ago, the sum of the ages of the husband and wife was ten times the sum of the ages of the same children. Six years from now, it will be three times the sum of the ages of the same children. Determine the number of children.

answer type

Numerical

is multiple answer

false

language

English

question type

Open-ended

subject

Math

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Source and history

upstream_id / Original problem ID: 2239
task_id: d16144e8-17ae-5c2d-aa4e-7c314651a6cc
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--2239
task_revision_id: 3
config / split: OE_TO_maths_en_COMP / train

Official source

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