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Bunuel in the question is the sum multiple of 88 or is the sum=88? is it a typo?­
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Bunuel in the question is the sum multiple of 88 or is the sum=88? is it a typo?­
­The sum of a two-digit number and the number obtained by reversing the digits is a multiple of 88. If the difference of the digits at the ten’s place and unit’s place is 6, find the digit at the ten’s place of the number.

ab + ba = (a multiple of 88)
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Bunuel can u plz provide the solution?
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The sum of a two-digit number and the number obtained by reversing the digits is a multiple of 88. If the difference of the digits at the ten’s place and unit’s place is 6, find the digit at the ten’s place of the number.

(A) 2
(B) 3
(C) 5
(D) 6
(E) 7

Bunuel can u plz provide the solution?
 

­(10a + b) + (10b + a) = (a multiple of 88)

­11a + 11b = 88k

a + b = 8k
Since a and b are digits, and a is positive, then:

a + b = 16
or

a + b = 8.­
a + b = 16 and a - b = 6 yileds a = 11, which is not a digit, so eliminate.

a + b = 8 and a - b = 6 yileds a = 7. 

Answer: E.­
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