Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation and identify the solution to the equation.

Question

Phil’s age is 7 years more than  times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation and identify the solution to the equation.

retireed · Answer

Is here a missing value in your question statement ? ....

Phil's age is 7 years more than ______ times Peter's age.

The blank should have a number or a word like twice.

retireed · Answer

First define your variables...

Ph = Phil      X =  Peter     Y unknown multiplier

Eq 1)     Ph - X*Y = 7         I can only write two equation, but have 3 unknowns
Eq 2)     2X - 4Ph = 2

Eq 3)     Ph = 7 + XY

Eq 4)     2X - 4(7+XY) = 2
             2X - 28 - 4XY = 2
             X ( 2 - 4Y ) = 30
              X = 30 / (2 - 4Y)          Y has a limited positive domain   Let Y = 1/4

              X = 30  Ph would = 14.5
              If Peter is 30, Phil is 14.5 years old