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If a and b represent positive single digits in the correctly worked computation above, what is the value of the two digit integer ba?
  • a)
    10
  • b)
    15
  • c)
    25
  • d)
    51
  • e)
    52
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
If a and b represent positive single digits in the correctly worked co...
The sum of the units digit is 2 + 3 + b = 10. We know that 2 + 3 + b can’t equal 0, because b is a positive single digit. Likewise 2 + 3 + b can’t equal 20 (or any higher value) because b would need to be 15 or greater—not a single digit.   Therefore, b must equal 5.
We know that 1 is carried from the sum of the units digits and added to the 2, a, and 4 in the tens digit of the computation, and that those digits sum to 9. Therefore 1 + 2 + a + 4 = 9, or a = 2. 
Thus, the value of the two digit integer ba is 52.
The correct answer is E
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