SOLUTION: the sum of the digits of a two-digit number is 7. when the digits are reversed, the umbe is increased by 27. find the number

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Question 1099087: the sum of the digits of a two-digit number is 7. when the digits are reversed, the umbe is increased by 27. find the number
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
t, TENS
u, ONES
system%28t%2Bu=7%2C10u%2Bt-%2810t%2Bu%29=27%29

system%28t%2Bu=7%2C-t%2Bu=3%29

The number:
25

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

the sum of the digits of a two-digit number is 7. when the digits are reversed, the umbe is increased by 27. find the number
Only 3 numbers fit that description and since the ORIGINAL is smaller, we get those 3 as: 16, 25, and 34.

Now, which of these 3, when reversed is 27 more than the original?