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Five times the sum of the digits of a two-digit number is 13 less than the original number. If you reverse the digits in the two-digit number, four times the sum of its two digits is 21 less than the reversed two-digit number.

(Hint: You can use variables to represent the digits of a number. If a two-digit number has the digit x in tens place and y in one’s place, the number will be 10x + y. Reversing the order of the digits will change their place value and the reversed number will 10y + x.)

The difference of the original two-digit number and the number with reversed digits is .

2 Answers

3 votes

Answer:

9

Explanation:

Five times the sum of the digits of a two-digit number is 13 less than the original-example-1
User Scoup
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4 votes
It's 9. 98 and 89. Use the two equations 4x+4y=10y+x-21 and 5x+5y=10x+y-13.
User Stephan Tual
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8.9k points