In the addition shown, x and y represent different single digits.What is the value of x + y?
A. 10
B. 11
C. 12
D. 13
E. 14
E. 14
Looking at the units column, we note that 3x = 7, 17 or 27. However, of these, only 3x = 27 has an integer solution, so x = 9 and there is a carry of 2 into the tens column.Looking at the tens column, we now note that 2 + 7 + 2y = 9, 19 or 29. Hence y = 0, 5 or 10, but 10 is not a single digit. If y = 0, then there is no carry from the tens column to the hundreds column, so we have 7 + 6 + 0 in the hundreds column which gives a total of 13, not the 19 we require. However, if y = 5, then there is a carry of 1 from the tens column to the hundreds column so we have 1 + 7 + 6 + 5 in the hundreds column giving a total of 19, which is correct. So y = 5. Therefore x + y = 9 + 5 = 14
Be up-to-date with our recent updates, new problems and answers!
Ask about our courses and offerings, and we will help you choose what works best for you.
