Question

Xavier and Madeleine's ages add up to 28. Xavier is 4 years older than half of Madeleine's age. How old will Xavier be in 2 years? A. 12 B. 14 C. 16 D. 18

Answer 1

In two years, Xavier will be 14 years old

Here, we want to get Xavier's age in 2 years

Let Xavier's current age be x and Madeleine's current age be m

The addition of the two will be 28

`x\text{ + m = 28}`

Secondly, we have that the age of Xavier x is 4 years older than half of Madeleine's age;

`x\text{ -4 = }(m)/(2)`

From the first equation, we can have a substition;

`m\text{ = 28 - x}`

Now, put this in the second equation;

`\begin{gathered} x-4\text{ = }(28-x)/(2) \\ 2(x-4)\text{ = 28-x} \\ 2x\text{ - 8 = 28 - x} \\ 2x+\text{ x = 28 + 8} \\ 3x\text{ = 36} \\ x\text{ = }(36)/(3) \\ x\text{ = 12} \end{gathered}`

Xavier's current age is 12

In the next two years, his age will be;

`12\text{ + 2 = 14}`