Sam is 10 years older than Ted. The sum of their ages is 56. if Sam is x years old, translate this word problem into an equation

Question

Sam is 10 years older than Ted. The sum of their ages is 56. if Sam is x years old, translate this word problem.

Answer 1

X = Sam's age. 

 X-10 = Ted's age

 

    X + X -10 = 56

 

     2X -10 =56

 

     2x = 66

 

       X = 33 , Sam's age

 

       33 - 10 = 23  Ted's age.

Answer 2

Sam = X and Ted = T

 

X = T + 10

X + T = 56 

 

that means.... 

 

T + (T + 10) = 56

2T + 10 = 56

(2T +10) - 10 = 56 - 10

2T = 46 

(2T)/2 = 46/2

 

T = 23;  X = 23+ 10 = 33

 

Ted is 23 years old and Sam is 33 years old