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

2 Answers

3 votes

Answer:

Elga is 30 and Alvin is 15

Explanation:

45-15=30

30-15=15

30+15=45

User Bufh
by
7.9k points
0 votes

Answer:


\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!

User Asad Nauman
by
8.3k points

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