math help plz

Question

A first number plus twice a second number is 18. Twice the first number plus the second totals 15. Find the numbers.
The smaller of the two numbers is
.

Answer 1

A = first number

B = second number

 

A + 2B = 18

2A + B = 15

 

A = 18 - 2B

2(18-2B) + B = 15

36 - 4B + B = 15

-3B = -21

B = 7 = SECOND NUMBER

A = 4 = FIRST NUMBER