One number exceeds another by 4. If three times the larger number is divided by the smaller number, the quotient is 4 and the remainder is 5. Find the numbers.

Question

(I am trying to figure out how to explain how to do this to my son. He is struggling and will be going to tutoring, but that won't help me explain it for his homework due tomorrow)

Answer 1

smaller number --- x
larger number ---- x+4

3(x+4)/x = 4 + 5/x
times x
3(x+4) = 4x + 5
3x + 12 = 4x + 5
7 = x

the smaller is 7 , the larger is 11

check:
33/7 = 4 with remainder 5
OK, all is good