Question

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

Answer 1

Elga is 30 and Alvin is 15

Explanation:

45-15=30

30-15=15

30+15=45

Answer 2

`\huge\boxed{\text{Alvin = 15, Elga = 30}}`

Explanation:

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

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

We can create two equations:

`a = e-15`

`a+e=45`

We can now use substitution to find each value. Let's substitute
`a = e-15` into
`a+e=45` as a.

`(e - 15) + e = 45`

We can now simplify this equation and solve for e.

`2e-15 = 45\\2e = 60\\e = 30`

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
`a+e=45`.

`a + 30 = 45\\a = 45-30\\a=15`

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

Hope this helped!