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The sum of the digits in a two digit number is 10 If the digits are reversed the new number will be 18 more than the original number What is the original number answere?
To begin with, let's represent the ten's digit with x. Then, we know that the one's digit is (10-x), because the sum of the digits is 10. Since the value of the ten's is 10 times more than the digit, we multiply it by 10. Now we have the original number: 10x+10-x. We can simplify it into 9x+10. For the reversed number, the digits switch spots, so now we multiply the one's by 10. The reversed # is 10(10-x)+x, which could be simplified into 100-9x.To get an equation you have to balance the two sides. For that, you need to add 18 to the original # to make it equal to the reversed #.
9x+10+18=100-9x
9x+9x=100-28
18x=82
x=82/18
x=4
The original number is 46.
The reversed number is 64.
CHECK: 64-46=18
IT WORKS!!!
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