alvinis12yearsyoungerthanelga.thesumoftheiragesis60.whatiselgasage



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

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