Question

A two-digit number is reduced by 45 when the digits are interchanged. The digit in the tens pace
of the original number is 1 more than 3 times the digit in the units place. Define variables and
write a system of equations to find the original number.

Answer 1

The system of equations to find the original number is;a = 3b +1 and (10a + b) - (10b +a) = 45

What is the system of equations to find the original number?

From the task content;

• let the number in the tens place of the original number be a and the number in the units place be b.

Hence, the required system of equations is;

• a = 3b

• (10a + b) - (10b +a) = 45

On this note, the required numbers can be evaluated from the equations above;

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