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Q8. The sum of the digits of a two digit number is 9. If 27 is subtracted from the number, its digits are interchanged. Which of these is the product of the digits of the number? * 1 point 8 14 18 20?
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Q8. The sum of the digits of a two digit number is 9. If 27 is subtrac...
Given Information:
- The sum of the digits of a two-digit number is 9.
- When 27 is subtracted from the number, its digits are interchanged.

Analysis:
Let the two-digit number be represented as 10x + y, where x is the digit in the tens place and y is the digit in the ones place.

Equations:
From the given information, we have the following equations:
1. x + y = 9 (sum of the digits is 9)
2. 10x + y - 27 = 10y + x (number with digits interchanged)

Solving the Equations:
From equation 1, we have x + y = 9
=> y = 9 - x
Substitute y = 9 - x into equation 2:
10x + 9 - x - 27 = 10(9 - x) + x
9x - 18 = 90 - 9x + x
9x - 18 = 90 - 8x
17x = 108
x = 6
Substitute x = 6 into y = 9 - x:
y = 9 - 6
y = 3
Therefore, the two-digit number is 63.

Product of the Digits:
The product of the digits of the number 63 is:
6 * 3 = 18

Conclusion:
The product of the digits of the two-digit number is 18.
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Q8. The sum of the digits of a two digit number is 9. If 27 is subtracted from the number, its digits are interchanged. Which of these is the product of the digits of the number? * 1 point 8 14 18 20?
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