Question

Find the two-digit number whose tens digit is 4 less than its units digits if the original number is 2 more than 3 times the sum of the digits

Answer 1

Let the 2 digit number be ab remembering that ab=10a+b
a=b-4...........equation 1
10a+b=3(a+b)+2........... equation 2
take a's value in equation 1 and plug it into equation 2
10(b-4)+b=3(b-4)+3b+2
5b=30
b=6 units digit
a=6-4=2 tens unit
number is 26