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.
_________________
Help me get better -- please critique my responses!