Let a be Alvin's age and e be Elga's age. We have the following equations

- 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

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

### How does the Age Difference Calculator work?

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

### What are some example calculations for the Age Difference Calculator?

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