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
| 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
Final Answer:
a = 24 and e = 36
What is the 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.
This calculator has 1 input.
What 2 formulas are used for the Age Difference Calculator?
younger means we subtract
older means we add
older means we add
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
