If the difference of two digit number and the number obtained by rever

1.	If the difference of two digit number and the number obtained by reversing the digitsis 36, find the difference between the digits of the 2-digit number.
Answer» Step-by-step explanation: A TWO-digit number is of the FORM 10T+O, where T is the digit in the tens place and O is the digit in the one’s place. The number obtained by reversing the digits is 10O+T. We also know that T and O must be digits between 1 and 9, not including zero (as a number with a leading zero is not a 2 digit number). We are told that 10T+O - 10O-T = 36. We are asked to calculate T - O. From the FORMER, we have 10T + O = 10O - T +36. Move the T and O to the other side of the equation: 11T = 9O + 36. That is not sufficient to enable us to solve for either T or O, as it is one equation in two unknowns. Consequently, one cannot solve for T - O.

If the difference of two digit number and the number obtained by reversing the digitsis 36, find the difference between the digits of the 2-digit number.

Answer»

Step-by-step explanation:

A TWO-digit number is of the FORM 10*T+O, where T is the digit in the tens place and O is the digit in the one’s place. The number obtained by reversing the digits is 10*O+T. We also know that T and O must be digits between 1 and 9, not including zero (as a number with a leading zero is not a 2 digit number).

We are told that 10*T+O - 10*O-T = 36. We are asked to calculate T - O.

From the FORMER, we have 10*T + O = 10*O - T +36. Move the T and O to the other side of the equation: 11*T = 9*O + 36. That is not sufficient to enable us to solve for either T or O, as it is one equation in two unknowns. Consequently, one cannot solve for T - O.

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