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 :)
