Question

The difference between two numbers is 4. Four times the larger number plus​ one-half the smaller is 43. What are the​ numbers?

Answer 1

A-b = 4; a = b+4
4a+b/2 = 43
Solving a in 2nd equ
4(b+4) + b/2 = 43
4b+16+b/2 = 43
9b/2 = 27
B/2 = 3
B = 6
A = 7