SOLUTION: A number consists of two digits . when the number is added to twice the first digitthe answer is 33 .the number obtained by reversing the digits exceeds the original number by 63 .

Question 964413: A number consists of two digits . when the number is added to twice the first digitthe answer is 33 .the number obtained by reversing the digits exceeds the original number by 63 .what is the original number
Answer by t0hierry(194) (Show Source): You can put this solution on YOUR website!
Call the two digits a and b. Then the number written ab (think of 12 for instance) is 10*a + b.
First statement then becomes 10*a + b + 2*a = 33
Second statement is 10*a + b + 63 = 10*b + a
Rewrite second statement as 9*a + 63 = 9*b or a + 7 = b
Plug into first statement 12*a + a + 7 = 33
or 13*a = 26
a=2
b then is 9
The number is 29.
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