Problem:
Lia is eight years younger than Kath. Find their ages if the sum is 92.
Solution:
Let x be the Kath's age
Then let x + 8 be the Lia's age
In representation:
Find their ages if the sum is 92.
- (Kath's age) + (Lia's age) = 81
- x + (x + 8) = 92
Solve the value of x which is the Kath's age to the problem equations.
- x + (x + 8) = 92
- 2x + 8 = 92
- 2x = 92 - 8
- 2x = 84/2
- x = 42
Substitute the Lia's age to the present age which is the value of x to the solving the problem equation.
- Lia's age = x + 8
- Lia's age = (42) + 8
- Lia's age = 50
Checking:
Checking the age's if the answer is correct.
- (Kath's age) + (Lia's age) = 81
- x + (x + 8) = 92
- (42) + (42 + 8) = 92
- 42 + 50 = 92
- 92 = 92 ✔
Answer:
∴ Therefore, the present age of Kath is 42 yrs old and Lia is 50 yrs old.
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