The sum of Jason And Mandy age is 35. Ten years ago Jason was double Mandy age. How old are they now?

Jason is 20 and Mandy is 15.

Let j be Jason's age and m be Mandy's age.

Then j+m=35. Solving this for j, we have

j = 35 - m

Jason's age 10 years ago can be represented by j-10 and Mandy's age 10 years ago can be represented by m-10:

(j-10) = 2 (m-10)

Using the distributive property, we have

j-10=2*m-2*10

j-10=2m-20

Substituting our value for j from the first equation in, we have

35-m-10 = 2m-20

25-m = 2m-20

Add m to both sides:

25-m+m = 2m-20+m

25=3m-20

Add 20 to both sides:

25+20=3m-20+20

45=3m

Divide both sides by 3:

45/3 = 3m/3

15=m

Mandy is 15.

Jason is 35-15=20.