A two-digit number is such that the sum of its digits is 12. If the digits are reversed, the new number is 18 more than the original. Let the tens digit be x and the units digit be y. What is the original two-digit number?

Question

Accepted Answer

57. x + y = 12 and (10y + x) - (10x + y) = 18 i.e. 9(y - x) = 18 so y - x = 2. Solving: y = 7, x = 5. Original number = 10(5) + 7 = 57.

A two-digit number is such that the sum of its digits is 12. If the digits are reversed, the new number is 18 more than the original.
Let the tens digit be $x$ and the units digit be $y$ .
What is the original two-digit number?

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More Class 9 Word Problems practice

A two-digit number is such that the sum of its digits is 12. If the digits are reversed, the new number is 18 more than the original.Let the tens digit be x and the units digit be y.What is the original two-digit number?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Word Problems practice

A two-digit number is such that the sum of its digits is 12. If the digits are reversed, the new number is 18 more than the original.
Let the tens digit be $x$ and the units digit be $y$ .
What is the original two-digit number?