1. A father is three times as old as his son. Five years ago the sum of their ages was 30. How old is the father now? Choices; 30, 35, 40, 45, 50

2. A mother is four times as old as her daughter. In two years, the sum of their ages will be 44. How old is the mother now? Choices: 30, 32, 34, 36, 38

1. First you have to find a number evenly divisible by 3. That leaves 30 and 45. Five years ago the father was either 25 or 40. What do you think the answer is?

2. Which choices are evenly divisible by 4? Which answer do you think is right?

1.

Let the son's present age be x
then the father's present age is 3x

Five years ago :
son's age = x-5
father's age = 3x-5

so

x-5 + 3x-5 = 30
4x = 40
x = 10
So the son is now 10 and the father is now 30

Now you do #2 the same way.

mum is 34

To solve these problems, we can set up equations based on the given information and then solve for the unknown variable.

Let's solve each problem step by step.

1. Let's say the son's age is x. According to the problem, the father is three times as old as his son, so the father's age would be 3x.
Five years ago, the son's age would have been x - 5, and the father's age would have been 3x - 5.

According to the problem, the sum of their ages five years ago was 30, so we can set up an equation:
(x - 5) + (3x - 5) = 30

Simplifying the equation:
x - 5 + 3x - 5 = 30
4x - 10 = 30
4x = 40
x = 10

Therefore, the son is currently 10 years old. To find the father's age, we multiply the son's age by three:
Father's age = 3 * 10 = 30

So, the correct answer for the first question is 30.

2. Let's say the daughter's age is x. According to the problem, the mother is four times as old as her daughter, so the mother's age would be 4x.
In two years, the daughter's age will be x + 2, and the mother's age will be 4x + 2.

According to the problem, the sum of their ages in two years will be 44, so we can set up an equation:
(x + 2) + (4x + 2) = 44

Simplifying the equation:
x + 2 + 4x + 2 = 44
5x + 4 = 44
5x = 40
x = 8

Therefore, the daughter is currently 8 years old. To find the mother's age, we multiply the daughter's age by four:
Mother's age = 4 * 8 = 32

So, the correct answer for the second question is 32.

In summary, the father is currently 30 years old (question 1) and the mother is currently 32 years old (question 2).