Example 1
The total age of Ali and Halim is 35 years. Halim is 5 years older than Ali. Find their ages.
Solution:
Let x = Ali's age
y = Halim's age
x + y = 35 ------------------------(1)
y = x + 5 -----------------------(2)
Subtitute (2) into (1)
x + x + 5 = 35
2x + 5 = 35
2x = 35 - 5
2x = 30
x = 30/2
x = 15
Subtitute x = 15 into (2)
y = 15 + 5
y = 20
Therefor, Ali is 15 years old and Halim is 20 years old.
