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f(x) is a function such that f(x) = s(x)+p(x), where s(x) is the sum o

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srcc25anu
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f(x) is a function such that f(x) = s(x)+p(x), where s(x) is the sum o [#permalink] New post   Updated on: 01 Oct 2023, 12:00
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\(f(x)\) is a function such that \(f(x) = s(x)+p(x)\), where \(s(x)\) is the sum of all the digits of \(x\) and \(p(x)\) is the product of all the digits of \(x.\)

Identify one x-value that, entered into function f(x), would yield an appropriate result. Select only one answer in each column.
x-value Result -----------
24
39
48
68
256
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Originally posted by srcc25anu on 30 Apr 2013, 05:10.
Last edited by BottomJee on 01 Oct 2023, 12:00, edited 3 times in total.
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Re: f(x) is a function such that f(x) = s(x)+p(x), where s(x) is the sum o [#permalink] New post   01 May 2013, 20:04
What is the source of the question?
Wordings of the question does not convey the question properly. It is not clear that "appropriate result" is appropriate to what. Is the question asking for the case where x = f(x), or is the question asking to find one value of x from "Options for x-value" for which there is a corresponding f(x) in "Options for result".
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Re: f(x) is a function such that f(x) = s(x)+p(x), where s(x) is the sum o [#permalink] New post   08 May 2013, 02:50
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srcc25anu wrote:
f(x) is a function such that f(x) = s(x)+p(x) , where s(x) is the sum of all the digits of x and p(x) is the product of all the digits of x .

Identify one x-value that, entered into function f(x) , would yield an appropriate result. Select only one answer in each column.

Options for x-value:
A. 48
B. 39
C. 24
D. 256
E. 68

Options for result:
A. 48
B. 39
C. 24
D. 256
E. 68

Show Spoiler
OA: B and B


I guess if we assume, Column 1 represents all the values for var x, and Column 2 represents the values of f(x), the values 39 and 39 satisfy for obvious reasons.
f(39) = s(39) + p(39)
=> 12 + 27 = 39.

But as previously mentioned, the question does offer some ambiguity.

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Re: f(x) is a function such that f(x) = s(x)+p(x), where s(x) is the sum o [#permalink] New post   07 Aug 2015, 07:11
Hi everyone ! This problem can be effectively solved through algebraic approach. More specifically..

Since 5 out of 6 answer choices are two digit numbers, lets assume that "x" is a two digit number "ab" , a : tens digit and b : units digit

So ab equals 10*a+b

Finally If you solve the following equation : 10*a+b = a+b + a*b ...... you will come up with the solution b=9 ,

thus we have no other choice except for --> 39 for "x" value, (since it is the only two digit number that ends in 9) and

solve the equation to find the y value.

This simple approach, by solving an extremely easy equation, saves time from trial and error, where you might end up trying to input 5 numbers to x and solve the equation the equation to find y..
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ruis
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f(x) is a function such that f(x) = s(x)+p(x), where s(x) is the sum o [#permalink] New post   24 Feb 2024, 11:15
 
skriaras@hotmail.com wrote:
Hi everyone ! This problem can be effectively solved through algebraic approach. More specifically..

Since 5 out of 6 answer choices are two digit numbers, lets assume that "x" is a two digit number "ab" , a : tens digit and b : units digit

So ab equals 10*a+b

Finally If you solve the following equation : 10*a+b = a+b + a*b ...... you will come up with the solution b=9 ,

thus we have no other choice except for --> 39 for "x" value, (since it is the only two digit number that ends in 9) and

solve the equation to find the y value.

This simple approach, by solving an extremely easy equation, saves time from trial and error, where you might end up trying to input 5 numbers to x and solve the equation the equation to find y..

­Hi there! Why do you multiply by 10?
Wouldnt ab (aka "x") = (a+b) +(a*b)?­
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f(x) is a function such that f(x) = s(x)+p(x), where s(x) is the sum o [#permalink]
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