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OlympiadBench / 2325 / Ada starts with x=10 and y=2, and applies the following process:

Problem

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

question

Ada starts with

x=10

and

y=2

, and applies the following process: Step 1: Add

x

and

y

. Let

x

equal the result. The value of

y

does not change. Step 2: Multiply

x

and

y

. Let

x

equal the result. The value of

y

does not change. Step 3: Add

y

and 1. Let

y

equal the result. The value of

x

does not change. Ada keeps track of the values of

x

and

y

: | |

x

y

| | :---: | :---: | :---: | | Before Step 1 | 10 | 2 | | After Step 1 | 12 | 2 | | After Step 2 | 24 | 2 | | After Step 3 | 24 | 3 | Continuing now with

x=24

and

y=3

, Ada applies the process two more times. What is the final value of

x

Plain-text mathematical notation (without MathML)

Ada starts with x=10 and y=2, and applies the following process:

Step 1: Add x and y. Let x equal the result. The value of y does not change. Step 2: Multiply x and y. Let x equal the result. The value of y does not change.

Step 3: Add y and 1. Let y equal the result. The value of x does not change.

Ada keeps track of the values of x and y :

|  | x | y |
| :---: | :---: | :---: |
| Before Step 1 | 10 | 2 |
| After Step 1 | 12 | 2 |
| After Step 2 | 24 | 2 |
| After Step 3 | 24 | 3 |

Continuing now with x=24 and y=3, Ada applies the process two more times. What is the final value of x ?

Original LaTeX notation

Ada starts with $x=10$ and $y=2$, and applies the following process:

Step 1: Add $x$ and $y$. Let $x$ equal the result. The value of $y$ does not change. Step 2: Multiply $x$ and $y$. Let $x$ equal the result. The value of $y$ does not change.

Step 3: Add $y$ and 1. Let $y$ equal the result. The value of $x$ does not change.

Ada keeps track of the values of $x$ and $y$ :

|  | $x$ | $y$ |
| :---: | :---: | :---: |
| Before Step 1 | 10 | 2 |
| After Step 1 | 12 | 2 |
| After Step 2 | 24 | 2 |
| After Step 3 | 24 | 3 |

Continuing now with $x=24$ and $y=3$, Ada applies the process two more times. What is the final value of $x$ ?

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: 2325
task_id: a3f78639-7edd-50a0-952c-8b5c24f64ae4
task_key: OE~5fTO~5fmaths~5fen~5fCOMP--train--2325
task_revision_id: 3
config / split: OE_TO_maths_en_COMP / train

Official source

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