A father's age is eight years more than three times his sons age. the mothers agee is eighteen years more than to times the sons age. What are the ages of the father , mother and son, if the mother is four years younger than the father

Ages of the father, mother and son are 50, 46 and 14 respectively.

Step-by-step explanation:

Step 1:

Let the age of the son be x. From given details, form equations.

Then age of father = 3x + 8

Age of mother = (3x + 8) - 4 = 3x + 4

Also, Age of mother = 18 + 2x

Step 2:

Equate the 2 equations for the age of mother.

⇒ 3x + 4 = 18 + 2x

⇒ x = 18 - 4 = 14

⇒ Age of father = 3x + 8 = 3×14 + 8 = 50

⇒ Age of mother = 3x + 4 = 46

the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.