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

We have the following equations

alvinis12yearsyoungerthanelga.thesumoftheiragesis60.whatiselgasage

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

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

(e - 12) + e = 60

2e - 12 = 60

##### Add 12 to each side:

2e - 12 + 12 = 60 + 12

2e = 72

 2e 2
 =
 72 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

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

For more math formulas, check out our Formula Dossier

### 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