Let a be Alvin's age and e be Elga's age.

We have the following equations

alvinis12yearsyoungerthanelga.thesumoftheiragesis60.whatiselgasage

- a = e - 12 ←younger means we subtract
- a + e = 60

##### Plugging in (1) to (2), we get:

(e - 12) + e = 60

##### Grouping like terms, we get:

2e - 12 = 60

##### Add 12 to each side:

2e - 12 + 12 = 60 + 12

##### Cancelling the 12 on the left side, we get:

2e = 72

##### Divide each side by 2

##### Cancelling the 2 on the left side, we get:

e = **36** ←Elga's age

##### Calculate Alvin's age:

Plugging e = 36 into equation (1), we get

a = 36 - 12

a = **24** ←Alvin's age

##### Final Answer:

a = **24** and e = **36**

##### How does the Age Difference Calculator work?

Free Age Difference Calculator - Determines the ages for an age difference word problem.

This calculator has 1 input.

### What 2 formulas are used for the Age Difference Calculator?

younger means we subtract

older means we add

For more math formulas, check out our

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### What 4 concepts are covered in the Age Difference Calculator?

- age
- the length of time that a person has lived or a thing has existed
- age difference
- The amount of change between the ages of 2 people
- difference
- the result of one of the important mathematical operations, which is obtained by subtracting two numbers
- year
- A period of 365 days - equal to 1 orbit of the Earth around the Sun

##### Example calculations for the Age Difference Calculator

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