Today I am 6 years less than half my father's age 6 years, I will be 6 years more than one-third my father's age. How old was my father when I was born?
Q. Today I am 6 years less than half my father's age 6 years, I will be 6 years more than one-third my father's age. How old was my father when I was born?
Define Variables: Let x be my current age and y be my father's current age.The first condition says I am 6 years less than half my father's age: x=(21)y−6.
Set Up Equations: The second condition says in 6 years, I will be 6 years more than one-third my father's age: x+6=(31)(y+6)+6.
Solve for x: Now we have two equations:1) x=21y−62) x+6=31(y+6)+6Let's solve the second equation for x: x=31y+2+6−6.
More problems from Add and subtract rational numbers: word problems