Question 249094
Let A be the smaller number and B the larger.
1) B = A+5 "One number (B) is 5 more than another (A)"
2) 5*A = 4*B "5 times the smaller (A) equals 4 times the larger (B)."
Substitute 1) into 2)
3) 5*A) = 4*(A+5) Simplify.
3a) 5A = 4A+20 Subtract 4A from both sides.
3b) A = 20 and...
1a) B = A+5 
1b) B = 20+5
1c) B = 25
The numbers are: 20 and 25