A man is sixteen years older than his father, if the total age is 57. How old is the son and the father?

The son is 20 and a half years old.

The father is 36 and a half years old.

Step-by-step explanation:

We can solve this easily by turning it into an equation.

Let the mans age be y and the fathers age be x.

y+x=57

x=y+16

We can use the substitution method to solve for the first equation.

y+(y+16)=57

Now we only have one variable to solve for. Add like terms.

2y+16=57

Subtract 16 on both sides.

2y=41

Divide both sides by 2 to isolate y.

y=20.5

Now substitute 20.5 for y to solve for x.

20.5+x=57

Subtract 20.5 from both sides.

x=36.5

The son is 20 and a half years old.

The father is 36 and a half years old.

Hope this helps!

this is a very good question

step-by-step explanation:

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so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse