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A certain two-digit integer x when divided by another integer t yields

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Bunuel
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A certain two-digit integer x when divided by another integer t yields [#permalink] New post   23 May 2020, 08:25
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A certain two-digit integer x when divided by another integer t yields a quotient of 7 with a remainder of 2. What is the value of x ?

(1) When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.
(2) t = 8


DS20360
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nick1816
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Re: A certain two-digit integer x when divided by another integer t yields [#permalink] New post   23 May 2020, 10:59
x = 'ab' =10a+b = 7t+2

Statement 1-

'ba' = 85; 'ab' = x = 58

Sufficient

Statement 2-

x= 7*8+2 = 58

Sufficient



Bunuel wrote:
A certain two-digit integer x when divided by another integer t yields a quotient of 7 with a remainder of 2. What is the value of x ?

(1) When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.
(2) t = 8


DS20360
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Re: A certain two-digit integer x when divided by another integer t yields [#permalink] New post   23 May 2020, 18:09
Bunuel wrote:
A certain two-digit integer x when divided by another integer t yields a quotient of 7 with a remainder of 2. What is the value of x ?

(1) When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.
(2) t = 8


DS20360


given
that x= t*7+2
find x
#1

When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.
only possible value of x = 85 so actual x is 58 and t = 8 sufficient
#2
t=8
so x has to be 58
sufficient
OPTION D
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Re: A certain two-digit integer x when divided by another integer t yields [#permalink] New post   23 May 2020, 19:55
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Answer will be (D) IMO.

From Statement 1 it can be seen that through the Number is 85 from the information given for the reversed number as the information is complete for the formation. As where 12 is the quotient, 7 is the divisor and 1 is remainder that number will be 12*7+1=85. So x will be 58.

From Statement 2, it can be seen that t=8. Can be used to find the value of x.
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Re: A certain two-digit integer x when divided by another integer t yields [#permalink] New post   27 Sep 2020, 03:14
nick1816 wrote:
x = 'ab' =10a+b = 7t+2

Statement 1-

'ba' = 85; 'ab' = x = 58

Sufficient

Statement 2-

x= 7*8+2 = 58

Sufficient




Bunuel wrote:
A certain two-digit integer x when divided by another integer t yields a quotient of 7 with a remainder of 2. What is the value of x ?

(1) When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.
(2) t = 8


DS20360




how to calculate 58 or 85????
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Re: A certain two-digit integer x when divided by another integer t yields [#permalink] New post   25 Nov 2020, 14:49
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Bunuel wrote:
A certain two-digit integer x when divided by another integer t yields a quotient of 7 with a remainder of 2. What is the value of x ?

(1) When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.
(2) t = 8


DS20360


x = two digit integer

\(x = 7t + 2\)

What is the value of x?

Lets start with statement 2:

(2) \(t = 8\)

Directly gives us our answer: \(x = 7(t) + 2\); SUFFICIENT.

(1) When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.

\(12 * 7 + 1 = 85\)

\(x = 58\)

SUFFICIENT.

Answer is D.
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Re: A certain two-digit integer x when divided by another integer t yields [#permalink] New post   15 Jun 2023, 23:21
A certain two-digit integer x when divided by another integer t yields a quotient of 7 with a remainder of 2. What is the value of x ?

(1) When the digits of x are reversed and the resulting number is divided by 7, the quotient is 12 with a remainder of 1.

From this statement it is clear that the number is 58 (Sufficient)

(2) t = 8

From this statement it is clear that the number is 58 (Sufficient)

Answer OPTION D
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Re: A certain two-digit integer x when divided by another integer t yields [#permalink]
15 Jun 2023, 23:21
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