Question 1174388: The sum of Tina's age and her husband's age is 65. 25 years ago Tina's age was half of her husband's. How old is Tina? Found 3 solutions by josgarithmetic, greenestamps, MathTherapy:Answer by josgarithmetic(39618) (Show Source):
You can get good mental exercise solving a problem like this using logical reasoning and simple arithmetic -- if a formal algebraic solution is not required.
Here is one quick path to the solution....
The sum of their current ages is 65.
25 years ago, that sum was 65-50 = 15.
At that time, Tina was half as old as her husband; that means their ages then were 5 and 10.
So now Tina's age is 5+25 = 30.
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The sum of Tina's age and her husband's age is 65. 25 years ago Tina's age was half of her husband's. How old is Tina?
Let Tina's age be T
Then the husband's is: 65 - T
This gives us: 65 - T - 25 = 2(T - 25)
40 - T = 2T - 50
- T - 2T = - 50 - 40
- 3T = - 90
Tina's age, or
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