City A experienced 18 armed robberies less than twice that of city B. In two cities combined, 138 armed robberies occurred. How many armed robberies occurred in City A?​

Respuesta :

Answer:

86 armed robberies

Step-by-step explanation:

Let a represent the number of armed robberies city A experienced and b represent the number of armed robberies city B experienced.

From the first sentence, we know that  a = 2b-18

From the second sentence, we know that a+b=138.

We can solve by substituting the value of a into the second equation to get

(2b-18)+b = 138. Add 18 to both sides and simplify to get 3b = 156. Finally, divide both sides by 3 to get b=52. We can plug this back into the first equation to get a = 2*52 - 18 = 104-18 = 86.