If you add​ Natalie's age and​ Fred's age, the result is 41. If you add​ Fred's age to 3 times​ Natalie's age, the result is 71. Write and solve a system of equations to find how old Fred and Natalie are.

Fred's age: 26    Natalie's age: 15

Step-by-step explanation:

    F + N = 41

-)  F + 3N = 71

=> -2N = -30

=> N = 15

F + 15 = 41 => F = 26

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.