Answer:
Elga is 46 years old.
Explanation:
Firstly, we are going to assume variables for Alvin's age and Elga's age. Alvin will be A and Elga will be E. Now, let's put this word problem into an algebraic statement. We know the sum of both ages is 106, which we would isolate on one side. Then, we also know that Alvin's age is 14 years older then Elgas. So altogether, we would have two equations:
A + E = 106
14 + E = A
We can now plug in Alvin's age into the formula. Our new formula would be:
(14 + E) + E =106
14 + 2E =106
Subtract 14 on both sides:
2E= 92
Divide by 2 to isolate the variable:
E = 46
The answer is that Elga is 46 years old. If you have any further questions, don't hesitate to ask! :)