SOLUTION: The sum of the digits of a two digit number is 5.
On reversing the digits of the number, the octane
number exceeds the original number by 9. Find the
original number.
Algebra.Com
Question 888311: The sum of the digits of a two digit number is 5.
On reversing the digits of the number, the octane
number exceeds the original number by 9. Find the
original number.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let be the tens digit
let be the units/ones digit
the sum of the digits of a two digit number is , so we
when the digits are reversed, the number is more than the original
since is your tens digit, its value is
so you have the value of your original number
when you reversed it, the new number is }
we have }
manipulate the equation above this sentence:
} or
solve and with the equation from the top, which is
_____________________add both and we get
after adding two equations, then
to solve for , plug solution for in one of the equations above
hence the number is
if the digits are reversed, the number is which is more than the number
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