Answer:
a= 9, b= 11
Step-by-step explanation:
20= a +b
Let's rewrite this so that the variables are on the left-hand side of the equation:
a +b= 20 -----(1)
I have also labelled the equation as equation (1).
Since b is two more than a,
b= a +2 -----(2)
Label the equation as equation (2).
Substitute (2) into (1):
a +(a +2)= 20
2a +2= 20
-2 on both sides of the equation:
2a= 20 -2
2a= 18
Divide both sides by 2:
a= 18 ÷2
a= 9
Substitute a= 9 into (2):
b= a +2
b= 9 +2
b= 11