Question

Maria is ten years older than José, and next year she will be twice as old as José. How old are they now?

Answer 1

Answer:

Maria's age now is 19 years old

Jose's age now is 9 years old

Explanation:

Assume that Maria's current age is x and that Jose's current age is y

We are given that:

1- Maria is 10 years older than Jose.

This means that:

x = y + 10 ............> equation I\

2- Next year, Maria will be twice as old as Jose.

This means that:

Maria's age next year = 2 * Jose's age next year

x + 1 = 2(y+1)

x + 1 = 2y + 2 ...........> equation II

Substitute with equation I in equation II and solve for y as follows:

x + 1 = 2y + 2

y + 10 + 1 = 2y + 2

y + 11 = 2y + 2

2y - y = 11 - 2

y = 9

Substitute with y in equation I to get x as follows:

x = y + 10

x = 9 + 10

x = 19

Based on the above calculations:

Maria's current age = x = 19 years old

Jose's current age = y = 9 years old

Hope this helps :)