la edad que tendré el próximo año es el doble de la edad de mi hermano. hace 15 años, nuestras edades sumaban 29 años. ¿cuál es mi edad actual?
To solve this problem, let’s break it down into smaller steps. Let’s call your current age “x” and your brother’s current age “y”.
First, we know that the age you will be next year is double your brother’s current age. So, we can write the equation: x + 1 = 2y.
Second, we know that 15 years ago, the sum of your ages was 29. So, 15 years ago your age was x - 15, and your brother’s age was y - 15. Therefore, we can write the equation: (x - 15) + (y - 15) = 29.
Now, we have a system of two equations:
- x + 1 = 2y
- (x - 15) + (y - 15) = 29
We can solve this system of equations to find the values of x and y.
Let’s solve equation 2 for x:
x - 15 + y - 15 = 29
x + y - 30 = 29
x + y = 59 (equation 3)
Now, let’s substitute equation 3 into equation 1 to solve for y:
x + 1 = 2y
(59 - y) + 1 = 2y
60 - y = 2y
3y = 60
y = 20
Substituting the value of y back into equation 3:
x + y = 59
x + 20 = 59
x = 39
Therefore, your current age is 39.