Alvin is 15 years younger than Elga. The sum of their ages is 45. What is Elga's age?

Step-by-step explanation:

In order to find Alvin and Elgas age, we can use a system of equations.

Let us assume that represents Alvin's age and represents Elgas age.

We can create two equations:

We can now use substitution to find each value. Let's substitute into as a.

We can now simplify this equation and solve for e.

So we know that Elga is 30 years old. To find Alvin's age, we can substitute the value of e (30) back into one of the equations. Let's do it for .

So Elga is 30 years old and Alvin is 15 years old.

Hope this helped!

Elga is 30 and Alvin is 15

Step-by-step explanation:

45-15=30

30-15=15

30+15=45

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times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3