Category: Algebra
"Published in Newark, California, USA"
A two digit number is three times the sum of its digits. If 45 is added to the number, the digits are reversed. Find the number.
Solution:
The given word problem above is about finding the value of a two digit number with special conditions. Let's analyze the given word problem above as follows:
Le x = be the value of a tens digit
y = be the value of a ones digit
If the first statement says, "A two digit number is three times the sum of its digits.", then the working equation will be
If the second statement says, "If 45 is added to the number, the digits are reversed.", then the working equation will be
Substitute the value of x from the first equation to the above equation, we have
Substitute the value of y to either of the working equations, we have
Therefore, the value of a two digit number is 27.