Problema Solution
A number of two digits is increased by 45 when the digits are interchaged. If the unit digit is three less tgan five times the tens digit. Find the original number.
Answer provided by our tutors
Let
x = the tens digit
5x - 3 = the unit digit
The number is 10x + 5x - 3 = 15x - 3.
The number when the digits are interchanged is: 10(5x - 3) + x = 51x - 30.
15x - 3 + 45 = 51x - 30
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click here to see the equation solved for x
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x = 2
5*2 - 3 = 7
The original number is 27.