SAT Math Problem -- "Is the Book Wrong?"

terv-mommy

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Jun 19, 2006
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This question appears as Section 2, number 3 of the Diagnostic Test in the McGraw-Hill SAT I study/practice book:

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"In the correctly worked addition problem below, each A represents the same digit. What is the the value of A?"


A3 + A5 + 2A = 157


(A) 1
(B) 2
(C) 3
(D) 4
(E) 6

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In the detailed answer to this question, it states as follows: "The answer is (D) 4. Since the ones column has only one A, it is easy to figure out its value from there. The only value for A that yields a seven in the ones column is 4."

Perhaps I am approaching this problem incorrectly, but right off the bat I add the three and the five in the ones column and get eight; to my mind, the only number that would then yield a value of 7 in the ones column would be a nine, which not only is not one of the answers, but would not fit with the rest of the problem even if it were! Please help if possible. Many thanks.
 
If you have indeed copied the problem correctly, not only is the proposed answer incorrect, but also there is no answer period.
Please review the statement. If necessary edit with a correction.

P.S. If 112 were used instead of 157, then the solution works.
It must be a typo somewhere.
 
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