The sum of the digits of a two-digit number is 9. The number formed by reversing the digits is 27 less than the original number. Let the tens digit be x and the units digit be y. Which pair of equations models this?

Question

Accepted Answer

x + y = 9, (10x + y) - (10y + x) = 27. Digit sum gives x + y = 9. Original (10x + y) is 27 more than reversed (10y + x), so (10x + y) - (10y + x) = 27.

The sum of the digits of a two-digit number is 9. The number formed by reversing the digits is 27 less than the original number.
Let the tens digit be $x$ and the units digit be $y$ .
Which pair of equations models this?

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More Class 9 Word Problems practice

The sum of the digits of a two-digit number is 9. The number formed by reversing the digits is 27 less than the original number.Let the tens digit be x and the units digit be y.Which pair of equations models this?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Word Problems practice

The sum of the digits of a two-digit number is 9. The number formed by reversing the digits is 27 less than the original number.
Let the tens digit be $x$ and the units digit be $y$ .
Which pair of equations models this?