Question

Madura is 25 years younger than her father. Nadira's mother is two years younger than her father. Together Nadira, her mother and father have a combined age of 78. Work out their ages.

Answer 1

Using the given information, we can set up an equation to find the ages of Madura, Nadira's mother, and Nadira's father. By simplifying the equation and expressing one variable in terms of the other, we can determine Madura's age in relation to Nadira's father's age.

Step-by-step explanation:

Let's represent Madura's father's age as x. Since Madura is 25 years younger than her father, her age can be represented as x-25. Nadira's father's age can be represented as y. Since Nadira's mother is two years younger than her father, her age can be represented as y-2.

According to the given information, the sum of Nadira, her mother, and her father's ages is 78. So, we have the equation:

(x) + (x-25) + (y-2) = 78

Combining like terms, we can simplify this equation to:

2x + y - 27 = 78

Next, we can rearrange the equation to solve for one variable:

2x + y = 78 + 27

2x + y = 105

Now, we don't have enough information to solve for both x and y. However, we can express x in terms of y or vice versa.

For simplicity, let's express x in terms of y. Rearranging the equation, we have:

2x = 105 - y

x = (105 - y)/2

We can now substitute this expression for x into the equation x-25 to find Madura's age in terms of y.

Madura's age: (x-25) = ((105 - y)/2) - 25 = (105 - 2y - 50)/2 = (55-2y)/2 = 27.5 - y/2

So, Madura's age can be represented as 27.5 - y/2.