Question

Alvin's age is two times Elga's age. The sum of their ages is 45 . What is Elga's age?

Answer 1

Step 1:

In this question, we are given the following:

Alvin's age is two times Elga's age.

The sum of their ages is 45.

What is Elga's age?

Step 2:

The details of the solution are as follows:

`\begin{gathered} \text{From the question, we can see that Alvin's age is twice Elga's age} \\ This\text{ means that:} \\ We\text{ would assume Alvin's age = 2x} \\ and \\ Elga^(\prime)s\text{ age = x} \\ such\text{ that 2x + x = 45 -- equation 1} \end{gathered}`
`\begin{gathered} This\text{ implies that:} \\ \text{3x = 45} \\ Divide\text{ through by 3, we have that:} \\ x\text{ = }(45)/(3) \\ \text{x = 15} \end{gathered}`
`\begin{gathered} \text{since x = 15} \\ and\text{ Elga's age = x} \\ Then,\text{ Elga's age = 15 years} \end{gathered}`

CONCLUSION:

Elga's age = 15 years